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81890784 = 253394781
BaseRepresentation
bin1001110000110…
…00110111100000
312201002111001000
410320120313200
5131431001114
612043112000
72013026433
oct470306740
9181074030
1081890784
1142252838
1223512600
1313c72bb1
14ac3981a
1572c8e09
hex4e18de0

81890784 has 48 divisors (see below), whose sum is σ = 238850640. Its totient is φ = 27296640.

The previous prime is 81890759. The next prime is 81890789. The reversal of 81890784 is 48709818.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×818907842 = 13412201008269312, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81890789) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46527 + ... + 48254.

It is an arithmetic number, because the mean of its divisors is an integer number (4976055).

Almost surely, 281890784 is an apocalyptic number.

It is an amenable number.

81890784 is an abundant number, since it is smaller than the sum of its proper divisors (156959856).

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

81890784 is a wasteful number, since it uses less digits than its factorization.

81890784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94800 (or 94786 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The square root of 81890784 is about 9049.3526840322. The cubic root of 81890784 is about 434.2551820310.

The spelling of 81890784 in words is "eighty-one million, eight hundred ninety thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 94781 189562 284343 379124 568686 758248 853029 1137372 1516496 1706058 2274744 2559087 3032992 3412116 4549488 5118174 6824232 9098976 10236348 13648464 20472696 27296928 40945392 81890784