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45237216 = 2532916249
BaseRepresentation
bin1010110010010…
…0001111100000
310011010021210110
42230210033200
543040042331
64253331320
71056336633
oct254441740
9104107713
1045237216
1123598432
1213196b40
1394ab5ab
146017c1a
153e88946
hex2b243e0

45237216 has 48 divisors (see below), whose sum is σ = 122850000. Its totient is φ = 14558208.

The previous prime is 45237209. The next prime is 45237223. The reversal of 45237216 is 61273254.

It is an interprime number because it is at equal distance from previous prime (45237209) and next prime (45237223).

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

It is a super-2 number, since 2×452372162 = 4092811422861312, which contains 22 as substring.

It is a congruent number.

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, 5341 + ... + 10908.

It is an arithmetic number, because the mean of its divisors is an integer number (2559375).

Almost surely, 245237216 is an apocalyptic number.

It is an amenable number.

45237216 is an abundant number, since it is smaller than the sum of its proper divisors (77612784).

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

45237216 is a wasteful number, since it uses less digits than its factorization.

45237216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16291 (or 16283 counting only the distinct ones).

The product of its digits is 10080, while the sum is 30.

The square root of 45237216 is about 6725.8617291764. The cubic root of 45237216 is about 356.3132369122.

The spelling of 45237216 in words is "forty-five million, two hundred thirty-seven thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 348 464 696 928 1392 2784 16249 32498 48747 64996 97494 129992 194988 259984 389976 471221 519968 779952 942442 1413663 1559904 1884884 2827326 3769768 5654652 7539536 11309304 15079072 22618608 45237216