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95245056 = 283267617
BaseRepresentation
bin1011010110101…
…01001100000000
320122012221122200
411223111030000
5143340320211
613241233200
72234366244
oct553251400
9218187580
1095245056
1149844025
1227a92800
131696a42a
14c914424
158565b56
hex5ad5300

95245056 has 108 divisors (see below), whose sum is σ = 279165432. Its totient is φ = 31223808.

The previous prime is 95245039. The next prime is 95245063. The reversal of 95245056 is 65054259.

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

It is a self number, because there is not a number n which added to its sum of digits gives 95245056.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 154060 + ... + 154676.

Almost surely, 295245056 is an apocalyptic number.

95245056 is a gapful number since it is divisible by the number (96) 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 95245056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139582716).

95245056 is an abundant number, since it is smaller than the sum of its proper divisors (183920376).

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

95245056 is a wasteful number, since it uses less digits than its factorization.

95245056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 95245056 is about 9759.3573558918. The cubic root of 95245056 is about 456.6822658520.

The spelling of 95245056 in words is "ninety-five million, two hundred forty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 67 72 96 128 134 144 192 201 256 268 288 384 402 536 576 603 617 768 804 1072 1152 1206 1234 1608 1851 2144 2304 2412 2468 3216 3702 4288 4824 4936 5553 6432 7404 8576 9648 9872 11106 12864 14808 17152 19296 19744 22212 25728 29616 38592 39488 41339 44424 51456 59232 77184 78976 82678 88848 118464 124017 154368 157952 165356 177696 236928 248034 330712 355392 372051 473856 496068 661424 710784 744102 992136 1322848 1421568 1488204 1984272 2645696 2976408 3968544 5291392 5952816 7937088 10582784 11905632 15874176 23811264 31748352 47622528 95245056