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97390944 = 2533716103
BaseRepresentation
bin1011100111000…
…01000101100000
320210020222021000
411303201011200
5144413002234
613355232000
72261544420
oct563410540
9223228230
1097390944
114aa7a292
1228748600
131723c0a1
14cd12480
15883b899
hex5ce1160

97390944 has 96 divisors (see below), whose sum is σ = 324656640. Its totient is φ = 27824256.

The previous prime is 97390907. The next prime is 97390957. The reversal of 97390944 is 44909379.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×973909442 = 18969991946422272, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 97390944.

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 15 ways as a sum of consecutive naturals, for example, 2004 + ... + 14099.

It is an arithmetic number, because the mean of its divisors is an integer number (3381840).

Almost surely, 297390944 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 97390944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162328320).

97390944 is an abundant number, since it is smaller than the sum of its proper divisors (227265696).

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

97390944 is a wasteful number, since it uses less digits than its factorization.

97390944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16129 (or 16115 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 97390944 is about 9868.6850187854. The cubic root of 97390944 is about 460.0865369644.

The spelling of 97390944 in words is "ninety-seven million, three hundred ninety thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 84 96 108 112 126 144 168 189 216 224 252 288 336 378 432 504 672 756 864 1008 1512 2016 3024 6048 16103 32206 48309 64412 96618 112721 128824 144927 193236 225442 257648 289854 338163 386472 434781 450884 515296 579708 676326 772944 869562 901768 1014489 1159416 1352652 1545888 1739124 1803536 2028978 2318832 2705304 3043467 3478248 3607072 4057956 4637664 5410608 6086934 6956496 8115912 10821216 12173868 13912992 16231824 24347736 32463648 48695472 97390944