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45308808 = 233617457
BaseRepresentation
bin1010110011010…
…1101110001000
310011020221000000
42230311232020
543044340213
64255043000
71060055436
oct254655610
9104227000
1045308808
11236371a6
1213210460
13950505c
146035d56
153e9ec73
hex2b35b88

45308808 has 112 divisors (see below), whose sum is σ = 135160380. Its totient is φ = 14183424.

The previous prime is 45308803. The next prime is 45308833. The reversal of 45308808 is 80880354.

45308808 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 39917124 + 5391684 = 6318^2 + 2322^2 .

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

It is not an unprimeable number, because it can be changed into a prime (45308803) 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 27 ways as a sum of consecutive naturals, for example, 98916 + ... + 99372.

Almost surely, 245308808 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 45308808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67580190).

45308808 is an abundant number, since it is smaller than the sum of its proper divisors (89851572).

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

45308808 is a wasteful number, since it uses less digits than its factorization.

45308808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 45308808 is about 6731.1817684564. The cubic root of 45308808 is about 356.5011038536.

The spelling of 45308808 in words is "forty-five million, three hundred eight thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 81 102 108 136 153 162 204 216 243 306 324 408 457 459 486 612 648 729 914 918 972 1224 1371 1377 1458 1828 1836 1944 2742 2754 2916 3656 3672 4113 4131 5484 5508 5832 7769 8226 8262 10968 11016 12339 12393 15538 16452 16524 23307 24678 24786 31076 32904 33048 37017 46614 49356 49572 62152 69921 74034 93228 98712 99144 111051 139842 148068 186456 209763 222102 279684 296136 333153 419526 444204 559368 629289 666306 839052 888408 1258578 1332612 1678104 1887867 2517156 2665224 3775734 5034312 5663601 7551468 11327202 15102936 22654404 45308808