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95974368 = 2537251569
BaseRepresentation
bin1011011100001…
…11001111100000
320200121000002020
411232013033200
5144032134433
613305021440
72243524440
oct556071740
9220530066
1095974368
114a1a1a66
1228184880
1316b64389
14ca64120
15865bcb3
hex5b873e0

95974368 has 96 divisors (see below), whose sum is σ = 289578240. Its totient is φ = 27264000.

The previous prime is 95974363. The next prime is 95974421. The reversal of 95974368 is 86347959.

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

It is a super-2 number, since 2×959743682 = 18422158625998848, which contains 22 as substring.

Its product of digits (1632960) is a multiple of the sum of its prime factors (840).

It is a self number, because there is not a number n which added to its sum of digits gives 95974368.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95974363) 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, 168388 + ... + 168956.

It is an arithmetic number, because the mean of its divisors is an integer number (3016440).

Almost surely, 295974368 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 95974368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144789120).

95974368 is an abundant number, since it is smaller than the sum of its proper divisors (193603872).

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

95974368 is a wasteful number, since it uses less digits than its factorization.

95974368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 840 (or 832 counting only the distinct ones).

The product of its digits is 1632960, while the sum is 51.

The square root of 95974368 is about 9796.6508562876. The cubic root of 95974368 is about 457.8449415668.

The spelling of 95974368 in words is "ninety-five million, nine hundred seventy-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 251 336 502 569 672 753 1004 1138 1506 1707 1757 2008 2276 3012 3414 3514 3983 4016 4552 5271 6024 6828 7028 7966 8032 9104 10542 11949 12048 13656 14056 15932 18208 21084 23898 24096 27312 28112 31864 42168 47796 54624 56224 63728 84336 95592 127456 142819 168672 191184 285638 382368 428457 571276 856914 999733 1142552 1713828 1999466 2285104 2999199 3427656 3998932 4570208 5998398 6855312 7997864 11996796 13710624 15995728 23993592 31991456 47987184 95974368