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94905972 = 22337472671
BaseRepresentation
bin1011010100000…
…10011001110100
320121120201112000
411222002121310
5143243442342
613230055300
72231454540
oct552023164
9217521460
1094905972
1149632297
122794a530
131687bca5
14c866a20
1584ea44c
hex5a82674

94905972 has 96 divisors (see below), whose sum is σ = 287293440. Its totient is φ = 26529120.

The previous prime is 94905971. The next prime is 94905977. The reversal of 94905972 is 27950949.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (94905971) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34197 + ... + 36867.

It is an arithmetic number, because the mean of its divisors is an integer number (2992640).

Almost surely, 294905972 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 94905972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143646720).

94905972 is an abundant number, since it is smaller than the sum of its proper divisors (192387468).

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

94905972 is a wasteful number, since it uses less digits than its factorization.

94905972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2738 (or 2730 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 94905972 is about 9741.9696160479. The cubic root of 94905972 is about 456.1396732800.

The spelling of 94905972 in words is "ninety-four million, nine hundred five thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 47 54 63 84 94 108 126 141 188 189 252 282 329 378 423 564 658 756 846 987 1269 1316 1692 1974 2538 2671 2961 3948 5076 5342 5922 8013 8883 10684 11844 16026 17766 18697 24039 32052 35532 37394 48078 56091 72117 74788 96156 112182 125537 144234 168273 224364 251074 288468 336546 376611 502148 504819 673092 753222 878759 1009638 1129833 1506444 1757518 2019276 2259666 2636277 3389499 3515036 4519332 5272554 6778998 7908831 10545108 13557996 15817662 23726493 31635324 47452986 94905972