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94906464 = 2532353811
BaseRepresentation
bin1011010100000…
…10100001100000
320121120202012020
411222002201200
5143244001324
613230101440
72231456142
oct552024140
9217522166
1094906464
11496326a4
122794a880
131687c293
14c866c92
1584ea679
hex5a82860

94906464 has 96 divisors (see below), whose sum is σ = 265192704. Its totient is φ = 29652480.

The previous prime is 94906459. The next prime is 94906507. The reversal of 94906464 is 46460949.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116619 + ... + 117429.

It is an arithmetic number, because the mean of its divisors is an integer number (2762424).

Almost surely, 294906464 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 94906464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132596352).

94906464 is an abundant number, since it is smaller than the sum of its proper divisors (170286240).

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

94906464 is a wasteful number, since it uses less digits than its factorization.

94906464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900 (or 892 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The square root of 94906464 is about 9741.9948675823. The cubic root of 94906464 is about 456.1404615000.

The spelling of 94906464 in words is "ninety-four million, nine hundred six thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 53 69 92 96 106 138 159 184 212 276 318 368 424 552 636 736 811 848 1104 1219 1272 1622 1696 2208 2433 2438 2544 3244 3657 4866 4876 5088 6488 7314 9732 9752 12976 14628 18653 19464 19504 25952 29256 37306 38928 39008 42983 55959 58512 74612 77856 85966 111918 117024 128949 149224 171932 223836 257898 298448 343864 447672 515796 596896 687728 895344 988609 1031592 1375456 1790688 1977218 2063184 2965827 3954436 4126368 5931654 7908872 11863308 15817744 23726616 31635488 47453232 94906464