Search a number
-
+
96762816 = 263355997
BaseRepresentation
bin1011100010001…
…11101111000000
320202002001122000
411301013233000
5144232402231
613333544000
72253320223
oct561075700
9222061560
1096762816
114a690377
12284a5000
131707c207
14cbcb5ba
1587656e6
hex5c47bc0

96762816 has 56 divisors (see below), whose sum is σ = 284469840. Its totient is φ = 32253696.

The previous prime is 96762779. The next prime is 96762859. The reversal of 96762816 is 61826769.

96762816 is a `hidden beast` number, since 9 + 6 + 7 + 628 + 16 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26271 + ... + 29726.

Almost surely, 296762816 is an apocalyptic number.

96762816 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

96762816 is an abundant number, since it is smaller than the sum of its proper divisors (187707024).

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

96762816 is a wasteful number, since it uses less digits than its factorization.

96762816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56018 (or 56002 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 96762816 is about 9836.8092387725. The cubic root of 96762816 is about 459.0952854425.

The spelling of 96762816 in words is "ninety-six million, seven hundred sixty-two thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 55997 111994 167991 223988 335982 447976 503973 671964 895952 1007946 1343928 1511919 1791904 2015892 2687856 3023838 3583808 4031784 5375712 6047676 8063568 10751424 12095352 16127136 24190704 32254272 48381408 96762816