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98969472 = 273374091
BaseRepresentation
bin1011110011000…
…10011110000000
320220020011121000
411321202132000
5200314010342
613453132000
72311140510
oct571423600
9226204530
1098969472
1150958258
122918a000
1317672724
14d203840
158a4e44c
hex5e62780

98969472 has 128 divisors (see below), whose sum is σ = 333907200. Its totient is φ = 28270080.

The previous prime is 98969447. The next prime is 98969473. The reversal of 98969472 is 27496989.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98969473) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22147 + ... + 26237.

It is an arithmetic number, because the mean of its divisors is an integer number (2608650).

Almost surely, 298969472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98969472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166953600).

98969472 is an abundant number, since it is smaller than the sum of its proper divisors (234937728).

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

98969472 is a wasteful number, since it uses less digits than its factorization.

98969472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4121 (or 4103 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 54.

The square root of 98969472 is about 9948.3401630624. The cubic root of 98969472 is about 462.5589456889.

The spelling of 98969472 in words is "ninety-eight million, nine hundred sixty-nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 288 336 378 384 432 448 504 576 672 756 864 896 1008 1152 1344 1512 1728 2016 2688 3024 3456 4032 4091 6048 8064 8182 12096 12273 16364 24192 24546 28637 32728 36819 49092 57274 65456 73638 85911 98184 110457 114548 130912 147276 171822 196368 220914 229096 257733 261824 294552 343644 392736 441828 458192 515466 523648 589104 687288 773199 785472 883656 916384 1030932 1178208 1374576 1546398 1570944 1767312 1832768 2061864 2356416 2749152 3092796 3534624 3665536 4123728 4712832 5498304 6185592 7069248 8247456 10996608 12371184 14138496 16494912 24742368 32989824 49484736 98969472