Search a number
-
+
92712096 = 25321916943
BaseRepresentation
bin1011000011010…
…10110010100000
320110110021002100
411201222302200
5142213241341
613111050400
72204016441
oct541526240
9213407070
1092712096
1148373a74
1227070a00
1316291539
14c4552c8
1582153b6
hex586aca0

92712096 has 72 divisors (see below), whose sum is σ = 277542720. Its totient is φ = 29275776.

The previous prime is 92712083. The next prime is 92712119. The reversal of 92712096 is 69021729.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 92712096.

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 11 ways as a sum of consecutive naturals, for example, 3000 + ... + 13943.

It is an arithmetic number, because the mean of its divisors is an integer number (3854760).

Almost surely, 292712096 is an apocalyptic number.

92712096 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

92712096 is an abundant number, since it is smaller than the sum of its proper divisors (184830624).

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

92712096 is a wasteful number, since it uses less digits than its factorization.

92712096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16978 (or 16967 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 92712096 is about 9628.7120634070. The cubic root of 92712096 is about 452.5974817198.

The spelling of 92712096 in words is "ninety-two million, seven hundred twelve thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 228 288 304 342 456 608 684 912 1368 1824 2736 5472 16943 33886 50829 67772 101658 135544 152487 203316 271088 304974 321917 406632 542176 609948 643834 813264 965751 1219896 1287668 1626528 1931502 2439792 2575336 2897253 3863004 4879584 5150672 5794506 7726008 10301344 11589012 15452016 23178024 30904032 46356048 92712096