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95691376 = 24114189149
BaseRepresentation
bin1011011010000…
…10001001110000
320200001121220001
411231002021300
5143444111001
613254555344
72241235414
oct555021160
9220047801
1095691376
114a019390
1228068b54
1316a95621
14c9ccd44
158603001
hex5b42270

95691376 has 80 divisors (see below), whose sum is σ = 210924000. Its totient is φ = 41676800.

The previous prime is 95691331. The next prime is 95691377. The reversal of 95691376 is 67319659.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95691377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 642150 + ... + 642298.

It is an arithmetic number, because the mean of its divisors is an integer number (2636550).

Almost surely, 295691376 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 95691376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105462000).

95691376 is an abundant number, since it is smaller than the sum of its proper divisors (115232624).

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

95691376 is a wasteful number, since it uses less digits than its factorization.

95691376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 292 counting only the distinct ones).

The product of its digits is 306180, while the sum is 46.

The square root of 95691376 is about 9782.1968902696. The cubic root of 95691376 is about 457.3944948664.

The spelling of 95691376 in words is "ninety-five million, six hundred ninety-one thousand, three hundred seventy-six".

Divisors: 1 2 4 8 11 16 22 41 44 82 88 89 149 164 176 178 298 328 356 451 596 656 712 902 979 1192 1424 1639 1804 1958 2384 3278 3608 3649 3916 6109 6556 7216 7298 7832 12218 13112 13261 14596 15664 24436 26224 26522 29192 40139 48872 53044 58384 67199 80278 97744 106088 134398 145871 160556 212176 268796 291742 321112 537592 543701 583484 642224 1075184 1087402 1166968 2174804 2333936 4349608 5980711 8699216 11961422 23922844 47845688 95691376