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95316032 = 2671511409
BaseRepresentation
bin1011010111001…
…10100001000000
320122100120000102
411223212201000
5143400103112
613242541532
72235113210
oct553464100
9218316012
1095316032
1149892389
1227b078a8
1316993826
14c932240
15857bbc2
hex5ae6840

95316032 has 56 divisors (see below), whose sum is σ = 217749120. Its totient is φ = 40550400.

The previous prime is 95316029. The next prime is 95316037. The reversal of 95316032 is 23061359.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 95315986 and 95316004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95316037) 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 7 ways as a sum of consecutive naturals, for example, 66944 + ... + 68352.

Almost surely, 295316032 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 95316032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108874560).

95316032 is an abundant number, since it is smaller than the sum of its proper divisors (122433088).

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

95316032 is a wasteful number, since it uses less digits than its factorization.

95316032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1579 (or 1569 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 29.

The square root of 95316032 is about 9762.9929837115. The cubic root of 95316032 is about 456.7956765764.

The spelling of 95316032 in words is "ninety-five million, three hundred sixteen thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 151 224 302 448 604 1057 1208 1409 2114 2416 2818 4228 4832 5636 8456 9664 9863 11272 16912 19726 22544 33824 39452 45088 67648 78904 90176 157808 212759 315616 425518 631232 851036 1489313 1702072 2978626 3404144 5957252 6808288 11914504 13616576 23829008 47658016 95316032