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80933664 = 2537294153
BaseRepresentation
bin1001101001011…
…11001100100000
312122021212010010
410310233030200
5131204334124
612010404520
72001632130
oct464571440
9178255103
1080933664
1141759729
1223130740
13139c9356
14aa6aac0
15718a529
hex4d2f320

80933664 has 96 divisors (see below), whose sum is σ = 251233920. Its totient is φ = 22321152.

The previous prime is 80933647. The next prime is 80933687. The reversal of 80933664 is 46633908.

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

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, 17412 + ... + 21564.

It is an arithmetic number, because the mean of its divisors is an integer number (2617020).

Almost surely, 280933664 is an apocalyptic number.

80933664 is a gapful number since it is divisible by the number (84) 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 80933664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125616960).

80933664 is an abundant number, since it is smaller than the sum of its proper divisors (170300256).

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

80933664 is a wasteful number, since it uses less digits than its factorization.

80933664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4202 (or 4194 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

The square root of 80933664 is about 8996.3139118197. The cubic root of 80933664 is about 432.5567239355.

The spelling of 80933664 in words is "eighty million, nine hundred thirty-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 32 42 48 56 58 84 87 96 112 116 168 174 203 224 232 336 348 406 464 609 672 696 812 928 1218 1392 1624 2436 2784 3248 4153 4872 6496 8306 9744 12459 16612 19488 24918 29071 33224 49836 58142 66448 87213 99672 116284 120437 132896 174426 199344 232568 240874 348852 361311 398688 465136 481748 697704 722622 843059 930272 963496 1395408 1445244 1686118 1926992 2529177 2790816 2890488 3372236 3853984 5058354 5780976 6744472 10116708 11561952 13488944 20233416 26977888 40466832 80933664