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2089532928 = 2937316269
BaseRepresentation
bin111110010001011…
…1011111000000000
312101121211021022110
41330202323320000
513234410023203
6543201535320
7102531510510
oct17442737000
95347737273
102089532928
1198253a01a
124a3944540
13273b94822
1415b723840
15c369ad03
hex7c8bbe00

2089532928 has 160 divisors (see below), whose sum is σ = 6568151040. Its totient is φ = 577658880.

The previous prime is 2089532903. The next prime is 2089532941. The reversal of 2089532928 is 8292359802.

It is a super-2 number, since 2×20895329282 = 8732295714392506368, 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 an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 330178 + ... + 336446.

It is an arithmetic number, because the mean of its divisors is an integer number (41050944).

Almost surely, 22089532928 is an apocalyptic number.

2089532928 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 2089532928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3284075520).

2089532928 is an abundant number, since it is smaller than the sum of its proper divisors (4478618112).

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

2089532928 is an equidigital number, since it uses as much as digits as its factorization.

2089532928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6328 (or 6312 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The square root of 2089532928 is about 45711.4091666402. The cubic root of 2089532928 is about 1278.4480148298.

The spelling of 2089532928 in words is "two billion, eighty-nine million, five hundred thirty-two thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 64 84 93 96 112 124 128 168 186 192 217 224 248 256 336 372 384 434 448 496 512 651 672 744 768 868 896 992 1302 1344 1488 1536 1736 1792 1984 2604 2688 2976 3472 3584 3968 5208 5376 5952 6269 6944 7936 10416 10752 11904 12538 13888 15872 18807 20832 23808 25076 27776 37614 41664 43883 47616 50152 55552 75228 83328 87766 100304 111104 131649 150456 166656 175532 194339 200608 263298 300912 333312 351064 388678 401216 526596 583017 601824 702128 777356 802432 1053192 1166034 1203648 1360373 1404256 1554712 1604864 2106384 2332068 2407296 2720746 2808512 3109424 3209728 4081119 4212768 4664136 4814592 5441492 5617024 6218848 8162238 8425536 9328272 9629184 10882984 11234048 12437696 16324476 16851072 18656544 21765968 22468096 24875392 32648952 33702144 37313088 43531936 49750784 65297904 67404288 74626176 87063872 99501568 130595808 149252352 174127744 261191616 298504704 348255488 522383232 696510976 1044766464 2089532928