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95020464 = 24371147547
BaseRepresentation
bin1011010100111…
…10010110110000
320121210112120110
411222132112300
5143311123324
613232341320
72232442410
oct552362660
9217715513
1095020464
1149700310
12279a4840
13168bc136
14c896640
15851e329
hex5a9e5b0

95020464 has 160 divisors (see below), whose sum is σ = 313122816. Its totient is φ = 24111360.

The previous prime is 95020451. The next prime is 95020469. The reversal of 95020464 is 46402059.

It is not an unprimeable number, because it can be changed into a prime (95020469) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 173439 + ... + 173985.

Almost surely, 295020464 is an apocalyptic number.

95020464 is a gapful number since it is divisible by the number (94) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 95020464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156561408).

95020464 is an abundant number, since it is smaller than the sum of its proper divisors (218102352).

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

95020464 is a wasteful number, since it uses less digits than its factorization.

95020464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 95020464 is about 9747.8440693314. The cubic root of 95020464 is about 456.3230244284.

The spelling of 95020464 in words is "ninety-five million, twenty thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 47 48 56 66 77 84 88 94 112 132 141 154 168 176 188 231 264 282 308 329 336 376 462 517 528 547 564 616 658 752 924 987 1034 1094 1128 1232 1316 1551 1641 1848 1974 2068 2188 2256 2632 3102 3282 3619 3696 3829 3948 4136 4376 5264 6017 6204 6564 7238 7658 7896 8272 8752 10857 11487 12034 12408 13128 14476 15316 15792 18051 21714 22974 24068 24816 25709 26256 28952 30632 36102 42119 43428 45948 48136 51418 57904 61264 72204 77127 84238 86856 91896 96272 102836 126357 144408 154254 168476 173712 179963 183792 205672 252714 282799 288816 308508 336952 359926 411344 505428 539889 565598 617016 673904 719852 848397 1010856 1079778 1131196 1234032 1439704 1696794 1979593 2021712 2159556 2262392 2879408 3393588 3959186 4319112 4524784 5938779 6787176 7918372 8638224 11877558 13574352 15836744 23755116 31673488 47510232 95020464