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45348138 = 23211247443
BaseRepresentation
bin1010110011111…
…1010100101010
310011022220221200
42230333110222
543102120023
64255545030
71060311213
oct254772452
9104286850
1045348138
1123663800
121322b176
139519c24
14604640a
153eab743
hex2b3f52a

45348138 has 72 divisors (see below), whose sum is σ = 110545344. Its totient is φ = 13419120.

The previous prime is 45348137. The next prime is 45348151. The reversal of 45348138 is 83184354.

It is not an unprimeable number, because it can be changed into a prime (45348137) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 102145 + ... + 102587.

It is an arithmetic number, because the mean of its divisors is an integer number (1535352).

Almost surely, 245348138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45348138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55272672).

45348138 is an abundant number, since it is smaller than the sum of its proper divisors (65197206).

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

45348138 is a wasteful number, since it uses less digits than its factorization.

45348138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 506 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 45348138 is about 6734.1026128208. The cubic root of 45348138 is about 356.6042268002.

The spelling of 45348138 in words is "forty-five million, three hundred forty-eight thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 9 11 18 22 33 47 66 94 99 121 141 198 242 282 363 423 443 517 726 846 886 1034 1089 1329 1551 2178 2658 3102 3987 4653 4873 5687 7974 9306 9746 11374 14619 17061 20821 29238 34122 41642 43857 51183 53603 62463 87714 102366 107206 124926 160809 187389 229031 321618 374778 458062 482427 687093 964854 1374186 2061279 2519341 4122558 5038682 7558023 15116046 22674069 45348138