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95914952 = 23721737389
BaseRepresentation
bin1011011011110…
…00101111001000
320200110222120122
411231320233020
5144023234302
613303442412
72243156300
oct555705710
9220428518
1095914952
114a161361
1228156408
1316b43313
14ca4a600
1586493a2
hex5b78bc8

95914952 has 96 divisors (see below), whose sum is σ = 228079800. Its totient is φ = 37545984.

The previous prime is 95914937. The next prime is 95914957. The reversal of 95914952 is 25941959.

It can be written as a sum of positive squares in 4 ways, for example, as 93586276 + 2328676 = 9674^2 + 1526^2 .

It is not an unprimeable number, because it can be changed into a prime (95914957) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 246374 + ... + 246762.

Almost surely, 295914952 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 95914952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114039900).

95914952 is an abundant number, since it is smaller than the sum of its proper divisors (132164848).

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

95914952 is a wasteful number, since it uses less digits than its factorization.

95914952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 452 counting only the distinct ones).

The product of its digits is 145800, while the sum is 44.

The square root of 95914952 is about 9793.6179218918. The cubic root of 95914952 is about 457.7504408814.

The spelling of 95914952 in words is "ninety-five million, nine hundred fourteen thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 14 17 28 34 37 49 56 68 74 98 119 136 148 196 238 259 296 389 392 476 518 629 778 833 952 1036 1258 1556 1666 1813 2072 2516 2723 3112 3332 3626 4403 5032 5446 6613 6664 7252 8806 10892 13226 14393 14504 17612 19061 21784 26452 28786 30821 35224 38122 46291 52904 57572 61642 76244 92582 100751 115144 123284 152488 185164 201502 244681 246568 324037 370328 403004 489362 648074 705257 806008 978724 1296148 1410514 1712767 1957448 2592296 2821028 3425534 5642056 6851068 11989369 13702136 23978738 47957476 95914952