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96897144 = 23317534481
BaseRepresentation
bin1011100011010…
…00100001111000
320202022212220010
411301220201320
5144301202034
613340501520
72254416651
oct561504170
9222285803
1096897144
114a772293
122854a8a0
13170c83b6
14cc24528
1587903e9
hex5c68878

96897144 has 64 divisors (see below), whose sum is σ = 261390240. Its totient is φ = 29818880.

The previous prime is 96897121. The next prime is 96897181. The reversal of 96897144 is 44179869.

It is a junction number, because it is equal to n+sod(n) for n = 96897093 and 96897102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19384 + ... + 23864.

Almost surely, 296897144 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 96897144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130695120).

96897144 is an abundant number, since it is smaller than the sum of its proper divisors (164493096).

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

96897144 is a wasteful number, since it uses less digits than its factorization.

96897144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4560 (or 4556 counting only the distinct ones).

The product of its digits is 435456, while the sum is 48.

The square root of 96897144 is about 9843.6346945628. The cubic root of 96897144 is about 459.3076288445.

The spelling of 96897144 in words is "ninety-six million, eight hundred ninety-seven thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 53 68 102 106 136 159 204 212 318 408 424 636 901 1272 1802 2703 3604 4481 5406 7208 8962 10812 13443 17924 21624 26886 35848 53772 76177 107544 152354 228531 237493 304708 457062 474986 609416 712479 914124 949972 1424958 1828248 1899944 2849916 4037381 5699832 8074762 12112143 16149524 24224286 32299048 48448572 96897144