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45399376 = 24113153157
BaseRepresentation
bin1010110100101…
…1110101010000
310011102112020101
42231023311100
543110240001
64301022144
71060613461
oct255136520
9104375211
1045399376
1123699250
1213254954
139537349
14605ad68
153ebba01
hex2b4bd50

45399376 has 80 divisors (see below), whose sum is σ = 101564928. Its totient is φ = 19468800.

The previous prime is 45399373. The next prime is 45399383. The reversal of 45399376 is 67399354.

45399376 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 2×453993762 = 4122206682378752, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45399371) 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 15 ways as a sum of consecutive naturals, for example, 289090 + ... + 289246.

Almost surely, 245399376 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 45399376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50782464).

45399376 is an abundant number, since it is smaller than the sum of its proper divisors (56165552).

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

45399376 is a wasteful number, since it uses less digits than its factorization.

45399376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 254 counting only the distinct ones).

The product of its digits is 612360, while the sum is 46.

The square root of 45399376 is about 6737.9059061403. The cubic root of 45399376 is about 356.7384830298.

The spelling of 45399376 in words is "forty-five million, three hundred ninety-nine thousand, three hundred seventy-six".

Divisors: 1 2 4 8 11 16 22 31 44 53 62 88 106 124 157 176 212 248 314 341 424 496 583 628 682 848 1166 1256 1364 1643 1727 2332 2512 2728 3286 3454 4664 4867 5456 6572 6908 8321 9328 9734 13144 13816 16642 18073 19468 26288 27632 33284 36146 38936 53537 66568 72292 77872 91531 107074 133136 144584 183062 214148 257951 289168 366124 428296 515902 732248 856592 1031804 1464496 2063608 2837461 4127216 5674922 11349844 22699688 45399376