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95716992 = 273725087
BaseRepresentation
bin1011011010010…
…00011010000000
320200002221000210
411231020122000
5144000420432
613255314120
72241403200
oct555103200
9220087023
1095716992
114a036658
122807b940
1316aa4197
14c9d8400
15860a8cc
hex5b48680

95716992 has 96 divisors (see below), whose sum is σ = 295816320. Its totient is φ = 27342336.

The previous prime is 95716949. The next prime is 95716997. The reversal of 95716992 is 29961759.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (95716997) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16273 + ... + 21359.

It is an arithmetic number, because the mean of its divisors is an integer number (3081420).

Almost surely, 295716992 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 95716992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147908160).

95716992 is an abundant number, since it is smaller than the sum of its proper divisors (200099328).

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

95716992 is a wasteful number, since it uses less digits than its factorization.

95716992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5118 (or 5099 counting only the distinct ones).

The product of its digits is 306180, while the sum is 48.

The square root of 95716992 is about 9783.5061199960. The cubic root of 95716992 is about 457.4353051343.

The spelling of 95716992 in words is "ninety-five million, seven hundred sixteen thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 294 336 384 392 448 588 672 784 896 1176 1344 1568 2352 2688 3136 4704 5087 6272 9408 10174 15261 18816 20348 30522 35609 40696 61044 71218 81392 106827 122088 142436 162784 213654 244176 249263 284872 325568 427308 488352 498526 569744 651136 747789 854616 976704 997052 1139488 1495578 1709232 1953408 1994104 2278976 2991156 3418464 3988208 4557952 5982312 6836928 7976416 11964624 13673856 15952832 23929248 31905664 47858496 95716992