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95379620 = 225719231559
BaseRepresentation
bin1011010111101…
…10000010100100
320122110210020112
411223312002210
5143404121440
613244152152
72235466460
oct553660244
9218423215
1095379620
1149926136
1227b38658
13169b675b
14c94b4a0
158590965
hex5af60a4

95379620 has 96 divisors (see below), whose sum is σ = 251596800. Its totient is φ = 29614464.

The previous prime is 95379617. The next prime is 95379629. The reversal of 95379620 is 2697359.

It is a super-2 number, since 2×953796202 = 18194543822688800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (95379629) 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 31 ways as a sum of consecutive naturals, for example, 60401 + ... + 61959.

It is an arithmetic number, because the mean of its divisors is an integer number (2620800).

Almost surely, 295379620 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 95379620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125798400).

95379620 is an abundant number, since it is smaller than the sum of its proper divisors (156217180).

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

95379620 is a wasteful number, since it uses less digits than its factorization.

95379620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1617 (or 1615 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 41.

The square root of 95379620 is about 9766.2490240624. The cubic root of 95379620 is about 456.8972344010.

The spelling of 95379620 in words is "ninety-five million, three hundred seventy-nine thousand, six hundred twenty".

Divisors: 1 2 4 5 7 10 14 19 20 23 28 35 38 46 70 76 92 95 115 133 140 161 190 230 266 322 380 437 460 532 644 665 805 874 1330 1559 1610 1748 2185 2660 3059 3118 3220 4370 6118 6236 7795 8740 10913 12236 15295 15590 21826 29621 30590 31180 35857 43652 54565 59242 61180 71714 109130 118484 143428 148105 179285 207347 218260 250999 296210 358570 414694 501998 592420 681283 717140 829388 1003996 1036735 1254995 1362566 2073470 2509990 2725132 3406415 4146940 4768981 5019980 6812830 9537962 13625660 19075924 23844905 47689810 95379620