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2472089088 = 29371912101
BaseRepresentation
bin1001001101011001…
…0001011000000000
320101021200010201010
42103112101120000
520030323322323
61045145240520
7115155260550
oct22326213000
96337603633
102472089088
111059480137
1258ba93140
13305209311
14196467160
15e7065c93
hex93591600

2472089088 has 160 divisors (see below), whose sum is σ = 7923421440. Its totient is φ = 669081600.

The previous prime is 2472089083. The next prime is 2472089117. The reversal of 2472089088 is 8809802742.

It is a super-2 number, since 2×24720890882 = 12222448918017343488, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2472089083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 198238 + ... + 210338.

It is an arithmetic number, because the mean of its divisors is an integer number (49521384).

Almost surely, 22472089088 is an apocalyptic number.

2472089088 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2472089088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3961710720).

2472089088 is an abundant number, since it is smaller than the sum of its proper divisors (5451332352).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2472089088 is a wasteful number, since it uses less digits than its factorization.

2472089088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12148 (or 12132 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 48.

The square root of 2472089088 is about 49720.1074817825. The cubic root of 2472089088 is about 1352.1391031321.

The spelling of 2472089088 in words is "two billion, four hundred seventy-two million, eighty-nine thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 64 76 84 96 112 114 128 133 152 168 192 224 228 256 266 304 336 384 399 448 456 512 532 608 672 768 798 896 912 1064 1216 1344 1536 1596 1792 1824 2128 2432 2688 3192 3584 3648 4256 4864 5376 6384 7296 8512 9728 10752 12101 12768 14592 17024 24202 25536 29184 34048 36303 48404 51072 68096 72606 84707 96808 102144 145212 169414 193616 204288 229919 254121 290424 338828 387232 459838 508242 580848 677656 689757 774464 919676 1016484 1161696 1355312 1379514 1548928 1609433 1839352 2032968 2323392 2710624 2759028 3097856 3218866 3678704 4065936 4646784 4828299 5421248 5518056 6195712 6437732 7357408 8131872 9293568 9656598 10842496 11036112 12875464 14714816 16263744 18587136 19313196 21684992 22072224 25750928 29429632 32527488 38626392 43369984 44144448 51501856 58859264 65054976 77252784 88288896 103003712 117718528 130109952 154505568 176577792 206007424 309011136 353155584 412014848 618022272 824029696 1236044544 2472089088