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95344032 = 2537532677
BaseRepresentation
bin1011010111011…
…01010110100000
320122101222102110
411223231112200
5143402002112
613243315320
72235260640
oct553552640
9218358373
1095344032
1149901423
1227b1bb40
13169a34b4
14c93c520
15858513c
hex5aed5a0

95344032 has 96 divisors (see below), whose sum is σ = 291537792. Its totient is φ = 26717184.

The previous prime is 95344021. The next prime is 95344061. The reversal of 95344032 is 23044359.

It is a tau number, because it is divible by the number of its divisors (96).

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, 34278 + ... + 36954.

It is an arithmetic number, because the mean of its divisors is an integer number (3036852).

Almost surely, 295344032 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 95344032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145768896).

95344032 is an abundant number, since it is smaller than the sum of its proper divisors (196193760).

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

95344032 is a wasteful number, since it uses less digits than its factorization.

95344032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2750 (or 2742 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 95344032 is about 9764.4268649010. The cubic root of 95344032 is about 456.8404015699.

The spelling of 95344032 in words is "ninety-five million, three hundred forty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 53 56 84 96 106 112 159 168 212 224 318 336 371 424 636 672 742 848 1113 1272 1484 1696 2226 2544 2677 2968 4452 5088 5354 5936 8031 8904 10708 11872 16062 17808 18739 21416 32124 35616 37478 42832 56217 64248 74956 85664 112434 128496 141881 149912 224868 256992 283762 299824 425643 449736 567524 599648 851286 899472 993167 1135048 1702572 1798944 1986334 2270096 2979501 3405144 3972668 4540192 5959002 6810288 7945336 11918004 13620576 15890672 23836008 31781344 47672016 95344032