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45239472 = 243467521
BaseRepresentation
bin1010110010010…
…0110010110000
310011010101220000
42230210302300
543040130342
64253350000
71056346335
oct254446260
9104111800
1045239472
112359a0a3
1213198300
1394ac625
14601898c
153e8944c
hex2b24cb0

45239472 has 100 divisors (see below), whose sum is σ = 133145496. Its totient is φ = 14826240.

The previous prime is 45239461. The next prime is 45239473. The reversal of 45239472 is 27493254.

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

It is not an unprimeable number, because it can be changed into a prime (45239473) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 86572 + ... + 87092.

Almost surely, 245239472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45239472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66572748).

45239472 is an abundant number, since it is smaller than the sum of its proper divisors (87906024).

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

45239472 is a wasteful number, since it uses less digits than its factorization.

45239472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608 (or 593 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 45239472 is about 6726.0294379374. The cubic root of 45239472 is about 356.3191599801.

The spelling of 45239472 in words is "forty-five million, two hundred thirty-nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 67 72 81 108 134 144 162 201 216 268 324 402 432 521 536 603 648 804 1042 1072 1206 1296 1563 1608 1809 2084 2412 3126 3216 3618 4168 4689 4824 5427 6252 7236 8336 9378 9648 10854 12504 14067 14472 18756 21708 25008 28134 28944 34907 37512 42201 43416 56268 69814 75024 84402 86832 104721 112536 139628 168804 209442 225072 279256 314163 337608 418884 558512 628326 675216 837768 942489 1256652 1675536 1884978 2513304 2827467 3769956 5026608 5654934 7539912 11309868 15079824 22619736 45239472