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94721952 = 25313711069
BaseRepresentation
bin1011010010101…
…01011110100000
320121020101002110
411221111132200
5143222100302
613222115320
72230060203
oct551253640
9217211073
1094721952
1149517006
122787bb40
13168162c0
14c81993a
1584b0b6c
hex5a557a0

94721952 has 96 divisors (see below), whose sum is σ = 271797120. Its totient is φ = 28707840.

The previous prime is 94721951. The next prime is 94721969. The reversal of 94721952 is 25912749.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 94721952.

It is not an unprimeable number, because it can be changed into a prime (94721951) 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, 88074 + ... + 89142.

It is an arithmetic number, because the mean of its divisors is an integer number (2831220).

Almost surely, 294721952 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 94721952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135898560).

94721952 is an abundant number, since it is smaller than the sum of its proper divisors (177075168).

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

94721952 is a wasteful number, since it uses less digits than its factorization.

94721952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1166 (or 1158 counting only the distinct ones).

The product of its digits is 45360, while the sum is 39.

The square root of 94721952 is about 9732.5203313428. The cubic root of 94721952 is about 455.8446685468.

The spelling of 94721952 in words is "ninety-four million, seven hundred twenty-one thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 71 78 96 104 142 156 208 213 284 312 416 426 568 624 852 923 1069 1136 1248 1704 1846 2138 2272 2769 3207 3408 3692 4276 5538 6414 6816 7384 8552 11076 12828 13897 14768 17104 22152 25656 27794 29536 34208 41691 44304 51312 55588 75899 83382 88608 102624 111176 151798 166764 222352 227697 303596 333528 444704 455394 607192 667056 910788 986687 1214384 1334112 1821576 1973374 2428768 2960061 3643152 3946748 5920122 7286304 7893496 11840244 15786992 23680488 31573984 47360976 94721952