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83333664 = 253396451
BaseRepresentation
bin1001111011110…
…01001000100000
312210210210022000
410331321020200
5132313134124
612134044000
72031216201
oct475711040
9183723260
1083333664
11430488a7
1223aa9600
131435987b
14b0d35a8
1574b16c9
hex4f79220

83333664 has 48 divisors (see below), whose sum is σ = 243059040. Its totient is φ = 27777600.

The previous prime is 83333659. The next prime is 83333671. The reversal of 83333664 is 46633338.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47362 + ... + 49089.

It is an arithmetic number, because the mean of its divisors is an integer number (5063730).

Almost surely, 283333664 is an apocalyptic number.

It is an amenable number.

83333664 is an abundant number, since it is smaller than the sum of its proper divisors (159725376).

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

83333664 is a wasteful number, since it uses less digits than its factorization.

83333664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96470 (or 96456 counting only the distinct ones).

The product of its digits is 93312, while the sum is 36.

The square root of 83333664 is about 9128.7274030940. The cubic root of 83333664 is about 436.7908100953.

The spelling of 83333664 in words is "eighty-three million, three hundred thirty-three thousand, six hundred sixty-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 96451 192902 289353 385804 578706 771608 868059 1157412 1543216 1736118 2314824 2604177 3086432 3472236 4629648 5208354 6944472 9259296 10416708 13888944 20833416 27777888 41666832 83333664