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95494032 = 24331713003
BaseRepresentation
bin1011011000100…
…01111110010000
320122200121012000
411230101332100
5143421302112
613250434000
72236454154
oct554217620
9218617160
1095494032
11499a4097
1227b92900
1316a2685a
14c97b064
1585b47dc
hex5b11f90

95494032 has 80 divisors (see below), whose sum is σ = 290249280. Its totient is φ = 29956608.

The previous prime is 95494027. The next prime is 95494033. The reversal of 95494032 is 23049459.

It is a super-2 number, since 2×954940322 = 18238220295234048, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (95494033) 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, 843 + ... + 13845.

It is an arithmetic number, because the mean of its divisors is an integer number (3628116).

Almost surely, 295494032 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 95494032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145124640).

95494032 is an abundant number, since it is smaller than the sum of its proper divisors (194755248).

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

95494032 is a wasteful number, since it uses less digits than its factorization.

95494032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13037 (or 13025 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 95494032 is about 9772.1047886318. The cubic root of 95494032 is about 457.0798507659.

The spelling of 95494032 in words is "ninety-five million, four hundred ninety-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 102 108 136 144 153 204 216 272 306 408 432 459 612 816 918 1224 1836 2448 3672 7344 13003 26006 39009 52012 78018 104024 117027 156036 208048 221051 234054 312072 351081 442102 468108 624144 663153 702162 884204 936216 1326306 1404324 1768408 1872432 1989459 2652612 2808648 3536816 3978918 5305224 5617296 5968377 7957836 10610448 11936754 15915672 23873508 31831344 47747016 95494032