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45061352 = 23731101257
BaseRepresentation
bin1010101111100…
…1010011101000
310010210100112222
42223321103220
543013430402
64245453212
71055005130
oct253712350
9103710488
1045061352
1123488296
1213111208
13944952b
145dadac0
153e517a2
hex2af94e8

45061352 has 64 divisors (see below), whose sum is σ = 101053440. Its totient is φ = 18432000.

The previous prime is 45061351. The next prime is 45061381. The reversal of 45061352 is 25316054.

It is not an unprimeable number, because it can be changed into a prime (45061351) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 175208 + ... + 175464.

It is an arithmetic number, because the mean of its divisors is an integer number (1578960).

Almost surely, 245061352 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 45061352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50526720).

45061352 is an abundant number, since it is smaller than the sum of its proper divisors (55992088).

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

45061352 is a wasteful number, since it uses less digits than its factorization.

45061352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 45061352 is about 6712.7752829958. The cubic root of 45061352 is about 355.8509033526.

The spelling of 45061352 in words is "forty-five million, sixty-one thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 28 31 56 62 101 124 202 217 248 257 404 434 514 707 808 868 1028 1414 1736 1799 2056 2828 3131 3598 5656 6262 7196 7967 12524 14392 15934 21917 25048 25957 31868 43834 51914 55769 63736 87668 103828 111538 175336 181699 207656 223076 363398 446152 726796 804667 1453592 1609334 3218668 5632669 6437336 11265338 22530676 45061352