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45125028 = 22321327417
BaseRepresentation
bin1010110000100…
…0110110100100
310010220120220100
42230020312210
543023000103
64251104100
71055361564
oct254106644
9103816810
1045125028
1123521113
1213142030
13946c500
145dc8da4
153e655a3
hex2b08da4

45125028 has 54 divisors (see below), whose sum is σ = 123531954. Its totient is φ = 13882752.

The previous prime is 45125027. The next prime is 45125033. The reversal of 45125028 is 82052154.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 1327104 + 43797924 = 1152^2 + 6618^2 .

It is a junction number, because it is equal to n+sod(n) for n = 45124992 and 45125010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45125027) 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 17 ways as a sum of consecutive naturals, for example, 2376 + ... + 9792.

Almost surely, 245125028 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 45125028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61765977).

45125028 is an abundant number, since it is smaller than the sum of its proper divisors (78406926).

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

45125028 is a wasteful number, since it uses less digits than its factorization.

45125028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7453 (or 7435 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 45125028 is about 6717.5165053761. The cubic root of 45125028 is about 356.0184415814.

The spelling of 45125028 in words is "forty-five million, one hundred twenty-five thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 169 234 338 468 507 676 1014 1521 2028 3042 6084 7417 14834 22251 29668 44502 66753 89004 96421 133506 192842 267012 289263 385684 578526 867789 1157052 1253473 1735578 2506946 3471156 3760419 5013892 7520838 11281257 15041676 22562514 45125028