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45454668 = 223717139229
BaseRepresentation
bin1010110101100…
…1010101001100
310011112100002020
42231121111030
543114022133
64302130140
71061233620
oct255312514
9104470066
1045454668
1123726846
1213280950
13955656c
146073180
153ecd0b3
hex2b5954c

45454668 has 96 divisors (see below), whose sum is σ = 129830400. Its totient is φ = 12082176.

The previous prime is 45454667. The next prime is 45454679. The reversal of 45454668 is 86645454.

45454668 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×454546682 = 4132253685980448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (45454663) 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, 198378 + ... + 198606.

It is an arithmetic number, because the mean of its divisors is an integer number (1352400).

Almost surely, 245454668 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 45454668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64915200).

45454668 is an abundant number, since it is smaller than the sum of its proper divisors (84375732).

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

45454668 is a wasteful number, since it uses less digits than its factorization.

45454668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 397 counting only the distinct ones).

The product of its digits is 460800, while the sum is 42.

The square root of 45454668 is about 6742.0077128404. The cubic root of 45454668 is about 356.8832484703.

The spelling of 45454668 in words is "forty-five million, four hundred fifty-four thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 139 204 229 238 278 357 417 458 476 556 687 714 834 916 973 1374 1428 1603 1668 1946 2363 2748 2919 3206 3892 3893 4726 4809 5838 6412 7089 7786 9452 9618 11676 11679 14178 15572 16541 19236 23358 27251 28356 31831 33082 46716 49623 54502 63662 66164 81753 95493 99246 109004 127324 163506 190986 198492 222817 327012 381972 445634 541127 668451 891268 1082254 1336902 1623381 2164508 2673804 3246762 3787889 6493524 7575778 11363667 15151556 22727334 45454668