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95004672 = 21137472
BaseRepresentation
bin1011010100110…
…10100000000000
320121202201220120
411222122200000
5143310122142
613232140240
72232345360
oct552324000
9217681816
1095004672
114969a464
1227997680
13168b4ba9
14c8909a0
1585197ec
hex5a9a800

95004672 has 144 divisors (see below), whose sum is σ = 295757280. Its totient is φ = 26566656.

The previous prime is 95004671. The next prime is 95004709. The reversal of 95004672 is 27640059.

It is not an unprimeable number, because it can be changed into a prime (95004671) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2021353 + ... + 2021399.

It is an arithmetic number, because the mean of its divisors is an integer number (2053870).

Almost surely, 295004672 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 95004672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147878640).

95004672 is an abundant number, since it is smaller than the sum of its proper divisors (200752608).

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

95004672 is an equidigital number, since it uses as much as digits as its factorization.

95004672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 95004672 is about 9747.0340104054. The cubic root of 95004672 is about 456.2977433744.

The spelling of 95004672 in words is "ninety-five million, four thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 47 48 56 64 84 94 96 112 128 141 168 188 192 224 256 282 329 336 376 384 448 512 564 658 672 752 768 896 987 1024 1128 1316 1344 1504 1536 1792 1974 2048 2209 2256 2632 2688 3008 3072 3584 3948 4418 4512 5264 5376 6016 6144 6627 7168 7896 8836 9024 10528 10752 12032 13254 14336 15463 15792 17672 18048 21056 21504 24064 26508 30926 31584 35344 36096 42112 43008 46389 48128 53016 61852 63168 70688 72192 84224 92778 96256 106032 123704 126336 141376 144384 168448 185556 212064 247408 252672 282752 288768 336896 371112 424128 494816 505344 565504 673792 742224 848256 989632 1010688 1131008 1484448 1696512 1979264 2021376 2262016 2968896 3393024 3958528 4524032 5937792 6786048 7917056 11875584 13572096 15834112 23751168 31668224 47502336 95004672