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95249560 = 2357418297
BaseRepresentation
bin1011010110101…
…10010010011000
320122020011211111
411223112102120
5143340441220
613241310104
72234415340
oct553262230
9218204744
1095249560
114984744a
1227a95334
131696c4b3
14c915d20
15856715a
hex5ad6498

95249560 has 64 divisors (see below), whose sum is σ = 250931520. Its totient is φ = 31856640.

The previous prime is 95249549. The next prime is 95249563. The reversal of 95249560 is 6594259.

95249560 = T2135 + T2136 + ... + T2175.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95249563) 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, 7332 + ... + 15628.

It is an arithmetic number, because the mean of its divisors is an integer number (3920805).

Almost surely, 295249560 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 95249560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125465760).

95249560 is an abundant number, since it is smaller than the sum of its proper divisors (155681960).

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

95249560 is a wasteful number, since it uses less digits than its factorization.

95249560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8356 (or 8352 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 40.

The square root of 95249560 is about 9759.5881060627. The cubic root of 95249560 is about 456.6894643517.

The spelling of 95249560 in words is "ninety-five million, two hundred forty-nine thousand, five hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 41 56 70 82 140 164 205 280 287 328 410 574 820 1148 1435 1640 2296 2870 5740 8297 11480 16594 33188 41485 58079 66376 82970 116158 165940 232316 290395 331880 340177 464632 580790 680354 1161580 1360708 1700885 2323160 2381239 2721416 3401770 4762478 6803540 9524956 11906195 13607080 19049912 23812390 47624780 95249560