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45830304 = 25321312241
BaseRepresentation
bin1010111011010…
…1000010100000
310012020102100200
42232311002200
543213032204
64314145200
71064360022
oct256650240
9105212320
1045830304
1123962a93
1213422200
139658530
146130012
154054539
hex2bb50a0

45830304 has 72 divisors (see below), whose sum is σ = 140366772. Its totient is φ = 14100480.

The previous prime is 45830293. The next prime is 45830371. The reversal of 45830304 is 40303854.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 41216400 + 4613904 = 6420^2 + 2148^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 11 ways as a sum of consecutive naturals, for example, 2377 + ... + 9864.

Almost surely, 245830304 is an apocalyptic number.

It is an amenable number.

45830304 is an abundant number, since it is smaller than the sum of its proper divisors (94536468).

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

45830304 is a wasteful number, since it uses less digits than its factorization.

45830304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12270 (or 12259 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 45830304 is about 6769.8082690723. The cubic root of 45830304 is about 357.8636435441.

The spelling of 45830304 in words is "forty-five million, eight hundred thirty thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 12241 24482 36723 48964 73446 97928 110169 146892 159133 195856 220338 293784 318266 391712 440676 477399 587568 636532 881352 954798 1175136 1273064 1432197 1762704 1909596 2546128 2864394 3525408 3819192 5092256 5728788 7638384 11457576 15276768 22915152 45830304