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45265878 = 2347179223
BaseRepresentation
bin1010110010101…
…1001111010110
310011011202010000
42230223033112
543042002003
64254112130
71056516330
oct254531726
9104152100
1045265878
1123607a19
12131ab646
1394bb658
146024450
153e921a3
hex2b2b3d6

45265878 has 80 divisors (see below), whose sum is σ = 117089280. Its totient is φ = 12803184.

The previous prime is 45265873. The next prime is 45265901. The reversal of 45265878 is 87856254.

45265878 is a `hidden beast` number, since 4 + 526 + 58 + 78 = 666.

It is a super-2 number, since 2×452658782 = 4097999422221768, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45265873) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 202875 + ... + 203097.

It is an arithmetic number, because the mean of its divisors is an integer number (1463616).

Almost surely, 245265878 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45265878, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58544640).

45265878 is an abundant number, since it is smaller than the sum of its proper divisors (71823402).

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

45265878 is a wasteful number, since it uses less digits than its factorization.

45265878 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 414 counting only the distinct ones).

The product of its digits is 537600, while the sum is 45.

The square root of 45265878 is about 6727.9921224686. The cubic root of 45265878 is about 356.3884735925.

It can be divided in two parts, 4526 and 5878, that added together give a square (10404 = 1022).

The spelling of 45265878 in words is "forty-five million, two hundred sixty-five thousand, eight hundred seventy-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 179 189 223 358 378 446 537 567 669 1074 1134 1253 1338 1561 1611 2007 2506 3122 3222 3759 4014 4683 4833 6021 7518 9366 9666 11277 12042 14049 14499 18063 22554 28098 28998 33831 36126 39917 42147 67662 79834 84294 101493 119751 126441 202986 239502 252882 279419 359253 558838 718506 838257 1077759 1676514 2155518 2514771 3233277 5029542 6466554 7544313 15088626 22632939 45265878