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83264048 = 2472332323
BaseRepresentation
bin1001111011010…
…00001000110000
312210200020210122
410331220020300
5132303422143
612132345412
72030506220
oct475501060
9183606718
1083264048
114300056a
1223a75268
1314333c8a
14b0b6080
15749ac68
hex4f68230

83264048 has 40 divisors (see below), whose sum is σ = 192392448. Its totient is φ = 34132032.

The previous prime is 83264033. The next prime is 83264053. The reversal of 83264048 is 84046238.

It is a junction number, because it is equal to n+sod(n) for n = 83263999 and 83264017.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13586 + ... + 18737.

Almost surely, 283264048 is an apocalyptic number.

It is an amenable number.

83264048 is an abundant number, since it is smaller than the sum of its proper divisors (109128400).

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

83264048 is a wasteful number, since it uses less digits than its factorization.

83264048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32361 (or 32355 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 35.

The square root of 83264048 is about 9124.9135886319. The cubic root of 83264048 is about 436.6691461766.

The spelling of 83264048 in words is "eighty-three million, two hundred sixty-four thousand, forty-eight".

Divisors: 1 2 4 7 8 14 16 23 28 46 56 92 112 161 184 322 368 644 1288 2576 32323 64646 129292 226261 258584 452522 517168 743429 905044 1486858 1810088 2973716 3620176 5204003 5947432 10408006 11894864 20816012 41632024 83264048