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95542464 = 2634153229
BaseRepresentation
bin1011011000111…
…01110011000000
320122210001121210
411230131303000
5143424324324
613251450120
72240045313
oct554356300
9218701553
1095542464
1149a27516
1227bb6940
1316a42904
14c99097a
1585c3d29
hex5b1dcc0

95542464 has 112 divisors (see below), whose sum is σ = 264993120. Its totient is φ = 30351360.

The previous prime is 95542463. The next prime is 95542477. The reversal of 95542464 is 46424559.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (95542463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 417102 + ... + 417330.

It is an arithmetic number, because the mean of its divisors is an integer number (2366010).

Almost surely, 295542464 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 95542464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132496560).

95542464 is an abundant number, since it is smaller than the sum of its proper divisors (169450656).

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

95542464 is a wasteful number, since it uses less digits than its factorization.

95542464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 328 counting only the distinct ones).

The product of its digits is 172800, while the sum is 39.

The square root of 95542464 is about 9774.5825486309. The cubic root of 95542464 is about 457.1571105675.

The spelling of 95542464 in words is "ninety-five million, five hundred forty-two thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 53 64 82 96 106 123 159 164 192 212 229 246 318 328 424 458 492 636 656 687 848 916 984 1272 1312 1374 1696 1832 1968 2173 2544 2624 2748 3392 3664 3936 4346 5088 5496 6519 7328 7872 8692 9389 10176 10992 12137 13038 14656 17384 18778 21984 24274 26076 28167 34768 36411 37556 43968 48548 52152 56334 69536 72822 75112 97096 104304 112668 139072 145644 150224 194192 208608 225336 291288 300448 388384 417216 450672 497617 582576 600896 776768 901344 995234 1165152 1492851 1802688 1990468 2330304 2985702 3980936 5971404 7961872 11942808 15923744 23885616 31847488 47771232 95542464