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45556632 = 23321197593
BaseRepresentation
bin1010110111001…
…0001110011000
310011201111221200
42231302032120
543130303012
64304234200
71062140112
oct255621630
9104644850
1045556632
1123796410
121330b960
139590ab4
14609c3b2
153eed3dc
hex2b72398

45556632 has 96 divisors (see below), whose sum is σ = 136216080. Its totient is φ = 13639680.

The previous prime is 45556631. The next prime is 45556649. The reversal of 45556632 is 23665554.

It is a happy number.

45556632 is a `hidden beast` number, since 45 + 556 + 63 + 2 = 666.

45556632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45556631) 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 23 ways as a sum of consecutive naturals, for example, 76528 + ... + 77120.

Almost surely, 245556632 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 45556632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68108040).

45556632 is an abundant number, since it is smaller than the sum of its proper divisors (90659448).

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

45556632 is a wasteful number, since it uses less digits than its factorization.

45556632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713 (or 706 counting only the distinct ones).

The product of its digits is 108000, while the sum is 36.

The square root of 45556632 is about 6749.5653193372. The cubic root of 45556632 is about 357.1499029162.

The spelling of 45556632 in words is "forty-five million, five hundred fifty-six thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 97 99 132 194 198 264 291 388 396 582 593 776 792 873 1067 1164 1186 1746 1779 2134 2328 2372 3201 3492 3558 4268 4744 5337 6402 6523 6984 7116 8536 9603 10674 12804 13046 14232 19206 19569 21348 25608 26092 38412 39138 42696 52184 57521 58707 76824 78276 115042 117414 156552 172563 230084 234828 345126 460168 469656 517689 632731 690252 1035378 1265462 1380504 1898193 2070756 2530924 3796386 4141512 5061848 5694579 7592772 11389158 15185544 22778316 45556632