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95531076 = 22361812
BaseRepresentation
bin1011011000110…
…11000001000100
320122202111000000
411230123001010
5143423443301
613251321300
72240000154
oct554330104
9218674000
1095531076
1149a19a03
1227bb0230
1316a3a684
14c98a764
1585c0786
hex5b1b044

95531076 has 63 divisors (see below), whose sum is σ = 252046893. Its totient is φ = 31667760.

The previous prime is 95531071. The next prime is 95531083. The reversal of 95531076 is 67013559.

It is a happy number.

The square root of 95531076 is 9774.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1052676 + 94478400 = 1026^2 + 9720^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 95531076.

It is not an unprimeable number, because it can be changed into a prime (95531071) 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 20 ways as a sum of consecutive naturals, for example, 527706 + ... + 527886.

Almost surely, 295531076 is an apocalyptic number.

95531076 is the 9774-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 95531076

95531076 is an abundant number, since it is smaller than the sum of its proper divisors (156515817).

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

95531076 is an equidigital number, since it uses as much as digits as its factorization.

95531076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 28350, while the sum is 36.

The cubic root of 95531076 is about 457.1389465253.

Multiplying 95531076 by its sum of digits (36), we get a square (3439118736 = 586442).

95531076 divided by its sum of digits (36) gives a square (2653641 = 16292).

The spelling of 95531076 in words is "ninety-five million, five hundred thirty-one thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 181 243 324 362 486 543 724 729 972 1086 1458 1629 2172 2916 3258 4887 6516 9774 14661 19548 29322 32761 43983 58644 65522 87966 98283 131044 131949 175932 196566 263898 294849 393132 527796 589698 884547 1179396 1769094 2653641 3538188 5307282 7960923 10614564 15921846 23882769 31843692 47765538 95531076