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96415456 = 2531831171
BaseRepresentation
bin1011011111100…
…10111011100000
320201102102010211
411233302323200
5144140243311
613322303504
72250342424
oct557627340
9221372124
1096415456
114a4733a5
1228357b94
1316c8a087
14cb3ab84
1586e7821
hex5bf2ee0

96415456 has 48 divisors (see below), whose sum is σ = 198471168. Its totient is φ = 46051200.

The previous prime is 96415447. The next prime is 96415469. The reversal of 96415456 is 65451469.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 81751 + ... + 82921.

It is an arithmetic number, because the mean of its divisors is an integer number (4134816).

Almost surely, 296415456 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 96415456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99235584).

96415456 is an abundant number, since it is smaller than the sum of its proper divisors (102055712).

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

96415456 is a wasteful number, since it uses less digits than its factorization.

96415456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1295 (or 1287 counting only the distinct ones).

The product of its digits is 129600, while the sum is 40.

The square root of 96415456 is about 9819.1372329752. The cubic root of 96415456 is about 458.5452720169.

The spelling of 96415456 in words is "ninety-six million, four hundred fifteen thousand, four hundred fifty-six".

Divisors: 1 2 4 8 16 31 32 62 83 124 166 248 332 496 664 992 1171 1328 2342 2573 2656 4684 5146 9368 10292 18736 20584 36301 37472 41168 72602 82336 97193 145204 194386 290408 388772 580816 777544 1161632 1555088 3012983 3110176 6025966 12051932 24103864 48207728 96415456