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97744896 = 211325303
BaseRepresentation
bin1011101001101…
…11100000000000
320210220221210100
411310313200000
5200010314041
613411002400
72264550354
oct564674000
9223827710
1097744896
11501a1207
1228899400
1317334222
14cda5464
1588ab6b6
hex5d37800

97744896 has 72 divisors (see below), whose sum is σ = 282358440. Its totient is φ = 32575488.

The previous prime is 97744853. The next prime is 97744901. The reversal of 97744896 is 69844779.

It is a happy number.

97744896 is a `hidden beast` number, since 97 + 74 + 489 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 15781 + ... + 21083.

It is an arithmetic number, because the mean of its divisors is an integer number (3921645).

Almost surely, 297744896 is an apocalyptic number.

97744896 is a gapful number since it is divisible by the number (96) 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 97744896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141179220).

97744896 is an abundant number, since it is smaller than the sum of its proper divisors (184613544).

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

97744896 is a wasteful number, since it uses less digits than its factorization.

97744896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5331 (or 5308 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 54.

The square root of 97744896 is about 9886.6018428983. The cubic root of 97744896 is about 460.6432337105.

The spelling of 97744896 in words is "ninety-seven million, seven hundred forty-four thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 3072 4608 5303 6144 9216 10606 15909 18432 21212 31818 42424 47727 63636 84848 95454 127272 169696 190908 254544 339392 381816 509088 678784 763632 1018176 1357568 1527264 2036352 2715136 3054528 4072704 5430272 6109056 8145408 10860544 12218112 16290816 24436224 32581632 48872448 97744896