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45029856 = 2533115131
BaseRepresentation
bin1010101111000…
…1100111100000
310010201202100110
42223301213200
543011423411
64245051320
71054514244
oct253614740
9103652313
1045029856
1123466663
12130b6b40
1394380b1
145da2424
153e472a6
hex2af19e0

45029856 has 48 divisors (see below), whose sum is σ = 122024448. Its totient is φ = 14524800.

The previous prime is 45029827. The next prime is 45029857. The reversal of 45029856 is 65892054.

45029856 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45029857) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 4590 + ... + 10541.

It is an arithmetic number, because the mean of its divisors is an integer number (2542176).

Almost surely, 245029856 is an apocalyptic number.

It is an amenable number.

45029856 is an abundant number, since it is smaller than the sum of its proper divisors (76994592).

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

45029856 is a wasteful number, since it uses less digits than its factorization.

45029856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15175 (or 15167 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The square root of 45029856 is about 6710.4288983641. The cubic root of 45029856 is about 355.7679757302.

The spelling of 45029856 in words is "forty-five million, twenty-nine thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1488 2976 15131 30262 45393 60524 90786 121048 181572 242096 363144 469061 484192 726288 938122 1407183 1452576 1876244 2814366 3752488 5628732 7504976 11257464 15009952 22514928 45029856