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96561344 = 2611197219
BaseRepresentation
bin1011100000101…
…10100011000000
320201200211021002
411300112203000
5144204430334
613325351132
72251520645
oct560264300
9221624232
1096561344
114a562a70
12284084a8
131700b5b9
14cb77dcc
158725b7e
hex5c168c0

96561344 has 56 divisors (see below), whose sum is σ = 220065600. Its totient is φ = 41575680.

The previous prime is 96561341. The next prime is 96561391. The reversal of 96561344 is 44316569.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 96561298 and 96561307.

It is not an unprimeable number, because it can be changed into a prime (96561341) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9767 + ... + 16985.

Almost surely, 296561344 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 96561344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110032800).

96561344 is an abundant number, since it is smaller than the sum of its proper divisors (123504256).

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

96561344 is a wasteful number, since it uses less digits than its factorization.

96561344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7261 (or 7251 counting only the distinct ones).

The product of its digits is 77760, while the sum is 38.

The square root of 96561344 is about 9826.5631835347. The cubic root of 96561344 is about 458.7764332266.

The spelling of 96561344 in words is "ninety-six million, five hundred sixty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 64 76 88 152 176 209 304 352 418 608 704 836 1216 1672 3344 6688 7219 13376 14438 28876 57752 79409 115504 137161 158818 231008 274322 317636 462016 548644 635272 1097288 1270544 1508771 2194576 2541088 3017542 4389152 5082176 6035084 8778304 12070168 24140336 48280672 96561344