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95672256 = 2631812753
BaseRepresentation
bin1011011001111…
…01011111000000
320200000122122220
411230331133000
5143443003011
613254331040
72241125601
oct554753700
9220018586
1095672256
114a005a89
1228059a80
1316a89a04
14c9c5da8
1585ec506
hex5b3d7c0

95672256 has 56 divisors (see below), whose sum is σ = 254623824. Its totient is φ = 31703040.

The previous prime is 95672237. The next prime is 95672257. The reversal of 95672256 is 65227659.

It is a Smith number, since the sum of its digits (42) 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 (95672257) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33376 + ... + 36128.

It is an arithmetic number, because the mean of its divisors is an integer number (4546854).

Almost surely, 295672256 is an apocalyptic number.

95672256 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 95672256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127311912).

95672256 is an abundant number, since it is smaller than the sum of its proper divisors (158951568).

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

95672256 is a wasteful number, since it uses less digits than its factorization.

95672256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2949 (or 2939 counting only the distinct ones).

The product of its digits is 226800, while the sum is 42.

The square root of 95672256 is about 9781.2195558632. The cubic root of 95672256 is about 457.3640289887.

The spelling of 95672256 in words is "ninety-five million, six hundred seventy-two thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 181 192 362 543 724 1086 1448 2172 2753 2896 4344 5506 5792 8259 8688 11012 11584 16518 17376 22024 33036 34752 44048 66072 88096 132144 176192 264288 498293 528576 996586 1494879 1993172 2989758 3986344 5979516 7972688 11959032 15945376 23918064 31890752 47836128 95672256