Search a number
-
+
96092424 = 23321923697
BaseRepresentation
bin1011011101001…
…00000100001000
320200211000000200
411232210010020
5144044424144
613311332200
72244525561
oct556440410
9220730020
1096092424
114a27272a
1228221060
1316ba602c
14ca95168
158681c69
hex5ba4108

96092424 has 72 divisors (see below), whose sum is σ = 274742910. Its totient is φ = 30336768.

The previous prime is 96092419. The next prime is 96092431. The reversal of 96092424 is 42429069.

96092424 is a `hidden beast` number, since 9 + 609 + 2 + 42 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 93896100 + 2196324 = 9690^2 + 1482^2 .

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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 24144 + ... + 27840.

Almost surely, 296092424 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 96092424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137371455).

96092424 is an abundant number, since it is smaller than the sum of its proper divisors (178650486).

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

96092424 is a wasteful number, since it uses less digits than its factorization.

96092424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3747 (or 3721 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 96092424 is about 9802.6743289778. The cubic root of 96092424 is about 458.0325930416.

The spelling of 96092424 in words is "ninety-six million, ninety-two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 342 361 456 684 722 1083 1368 1444 2166 2888 3249 3697 4332 6498 7394 8664 11091 12996 14788 22182 25992 29576 33273 44364 66546 70243 88728 133092 140486 210729 266184 280972 421458 561944 632187 842916 1264374 1334617 1685832 2528748 2669234 4003851 5057496 5338468 8007702 10676936 12011553 16015404 24023106 32030808 48046212 96092424