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45062752 = 257229991
BaseRepresentation
bin1010101111100…
…1101001100000
310010210102110211
42223321221200
543014002002
64245503504
71055012200
oct253715140
9103712424
1045062752
1123489349
1213111b94
13944a067
145db0400
153e51dd7
hex2af9a60

45062752 has 72 divisors (see below), whose sum is σ = 106868160. Its totient is φ = 18627840.

The previous prime is 45062711. The next prime is 45062789. The reversal of 45062752 is 25726054.

45062752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 11 ways as a sum of consecutive naturals, for example, 44977 + ... + 45967.

It is an arithmetic number, because the mean of its divisors is an integer number (1484280).

Almost surely, 245062752 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 45062752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53434080).

45062752 is an abundant number, since it is smaller than the sum of its proper divisors (61805408).

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

45062752 is a wasteful number, since it uses less digits than its factorization.

45062752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1044 (or 1029 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 31.

The square root of 45062752 is about 6712.8795609634. The cubic root of 45062752 is about 355.8545885956.

The spelling of 45062752 in words is "forty-five million, sixty-two thousand, seven hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 29 32 49 56 58 98 112 116 196 203 224 232 392 406 464 784 812 928 991 1421 1568 1624 1982 2842 3248 3964 5684 6496 6937 7928 11368 13874 15856 22736 27748 28739 31712 45472 48559 55496 57478 97118 110992 114956 194236 201173 221984 229912 388472 402346 459824 776944 804692 919648 1408211 1553888 1609384 2816422 3218768 5632844 6437536 11265688 22531376 45062752