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96091344 = 24321722309
BaseRepresentation
bin1011011101000…
…11110011010000
320200210221112200
411232203303100
5144044410334
613311323200
72244522456
oct556436320
9220727480
1096091344
114a271938
1228220500
1316ba56ab
14ca949d6
158681799
hex5ba3cd0

96091344 has 90 divisors (see below), whose sum is σ = 285795510. Its totient is φ = 30133248.

The previous prime is 96091343. The next prime is 96091357. The reversal of 96091344 is 44319069.

96091344 is a `hidden beast` number, since 9 + 609 + 1 + 3 + 44 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 56250000 + 39841344 = 7500^2 + 6312^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 96091299 and 96091308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96091343) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 40462 + ... + 42770.

Almost surely, 296091344 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 96091344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142897755).

96091344 is an abundant number, since it is smaller than the sum of its proper divisors (189704166).

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

96091344 is a wasteful number, since it uses less digits than its factorization.

96091344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2357 (or 2331 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 96091344 is about 9802.6192418149. The cubic root of 96091344 is about 458.0308770650.

The spelling of 96091344 in words is "ninety-six million, ninety-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 289 306 408 578 612 816 867 1156 1224 1734 2309 2312 2448 2601 3468 4618 4624 5202 6927 6936 9236 10404 13854 13872 18472 20781 20808 27708 36944 39253 41562 41616 55416 78506 83124 110832 117759 157012 166248 235518 314024 332496 353277 471036 628048 667301 706554 942072 1334602 1413108 1884144 2001903 2669204 2826216 4003806 5338408 5652432 6005709 8007612 10676816 12011418 16015224 24022836 32030448 48045672 96091344