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45640476 = 2233773827
BaseRepresentation
bin1010111000011…
…0101100011100
310011212202222000
42232012230130
543140443401
64310122300
71062636420
oct256065434
9104782860
1045640476
1123843402
1213350390
1395bcccb
1460c0b80
154018186
hex2b86b1c

45640476 has 96 divisors (see below), whose sum is σ = 137249280. Its totient is φ = 12845952.

The previous prime is 45640471. The next prime is 45640477. The reversal of 45640476 is 67404654.

45640476 is a `hidden beast` number, since 4 + 5 + 640 + 4 + 7 + 6 = 666.

45640476 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 self number, because there is not a number n which added to its sum of digits gives 45640476.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45640471) 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 31 ways as a sum of consecutive naturals, for example, 54775 + ... + 55601.

It is an arithmetic number, because the mean of its divisors is an integer number (1429680).

Almost surely, 245640476 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 45640476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68624640).

45640476 is an abundant number, since it is smaller than the sum of its proper divisors (91608804).

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

45640476 is a wasteful number, since it uses less digits than its factorization.

45640476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920 (or 912 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 45640476 is about 6755.7735308401. The cubic root of 45640476 is about 357.3688723131.

The spelling of 45640476 in words is "forty-five million, six hundred forty thousand, four hundred seventy-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 73 84 108 126 146 189 219 252 292 378 438 511 657 756 827 876 1022 1314 1533 1654 1971 2044 2481 2628 3066 3308 3942 4599 4962 5789 6132 7443 7884 9198 9924 11578 13797 14886 17367 18396 22329 23156 27594 29772 34734 44658 52101 55188 60371 69468 89316 104202 120742 156303 181113 208404 241484 312606 362226 422597 543339 625212 724452 845194 1086678 1267791 1630017 1690388 2173356 2535582 3260034 3803373 5071164 6520068 7606746 11410119 15213492 22820238 45640476