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45242925 = 3527213947
BaseRepresentation
bin1010110010010…
…1101000101101
310011010120121220
42230211220231
543040233200
64253413553
71056362400
oct254455055
9104116556
1045242925
11235a1752
121319a2b9
1394b1080
146019d37
153e8a4a0
hex2b25a2d

45242925 has 72 divisors (see below), whose sum is σ = 93806496. Its totient is φ = 19071360.

The previous prime is 45242903. The next prime is 45242947. The reversal of 45242925 is 52924254.

45242925 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (45242903) and next prime (45242947).

It is not a de Polignac number, because 45242925 - 25 = 45242893 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 47302 + ... + 48248.

It is an arithmetic number, because the mean of its divisors is an integer number (1302868).

Almost surely, 245242925 is an apocalyptic number.

It is an amenable number.

45242925 is an abundant number, since it is smaller than the sum of its proper divisors (48563571).

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

45242925 is a wasteful number, since it uses less digits than its factorization.

45242925 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 987 (or 975 counting only the distinct ones).

The product of its digits is 28800, while the sum is 33.

The square root of 45242925 is about 6726.2861223709. The cubic root of 45242925 is about 356.3282253582.

The spelling of 45242925 in words is "forty-five million, two hundred forty-two thousand, nine hundred twenty-five".

Divisors: 1 3 5 7 13 15 21 25 35 39 49 65 75 91 105 147 175 195 245 273 325 455 525 637 735 947 975 1225 1365 1911 2275 2841 3185 3675 4735 6629 6825 9555 12311 14205 15925 19887 23675 33145 36933 46403 47775 61555 71025 86177 99435 139209 165725 184665 232015 258531 307775 430885 497175 603239 696045 923325 1160075 1292655 1809717 2154425 3016195 3480225 6463275 9048585 15080975 45242925