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95996992 = 2671353311
BaseRepresentation
bin1011011100011…
…00110001000000
320200122011010011
411232030301000
5144033400432
613305314304
72243650420
oct556146100
9220564104
1095996992
114a207a63
1228195994
1316b71770
14ca6c480
158663847
hex5b8cc40

95996992 has 112 divisors (see below), whose sum is σ = 239645952. Its totient is φ = 37140480.

The previous prime is 95996969. The next prime is 95996993. The reversal of 95996992 is 29969959.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (95996993) 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, 308517 + ... + 308827.

It is an arithmetic number, because the mean of its divisors is an integer number (2139696).

Almost surely, 295996992 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 95996992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119822976).

95996992 is an abundant number, since it is smaller than the sum of its proper divisors (143648960).

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

95996992 is a wasteful number, since it uses less digits than its factorization.

95996992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 386 counting only the distinct ones).

The product of its digits is 3542940, while the sum is 58.

The square root of 95996992 is about 9797.8054685731. The cubic root of 95996992 is about 457.8809146097.

The spelling of 95996992 in words is "ninety-five million, nine hundred ninety-six thousand, nine hundred ninety-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 53 56 64 91 104 106 112 182 208 212 224 311 364 371 416 424 448 622 689 728 742 832 848 1244 1378 1456 1484 1696 2177 2488 2756 2912 2968 3392 4043 4354 4823 4976 5512 5824 5936 8086 8708 9646 9952 11024 11872 16172 16483 17416 19292 19904 22048 23744 28301 32344 32966 34832 38584 44096 56602 64688 65932 69664 77168 113204 115381 129376 131864 139328 154336 214279 226408 230762 258752 263728 308672 428558 452816 461524 527456 857116 905632 923048 1054912 1499953 1714232 1811264 1846096 2999906 3428464 3692192 5999812 6856928 7384384 11999624 13713856 23999248 47998496 95996992