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45745260 = 22351126301
BaseRepresentation
bin1010111010000…
…0010001101100
310012002002200220
42232200101230
543202322020
64312251340
71063554051
oct256402154
9105062626
1045745260
1123905100
12133a0b50
139628902
14610b028
154039240
hex2ba046c

45745260 has 72 divisors (see below), whose sum is σ = 140811888. Its totient is φ = 11088000.

The previous prime is 45745253. The next prime is 45745261. The reversal of 45745260 is 6254754.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (45745261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4110 + ... + 10410.

Almost surely, 245745260 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 45745260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70405944).

45745260 is an abundant number, since it is smaller than the sum of its proper divisors (95066628).

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

45745260 is a wasteful number, since it uses less digits than its factorization.

45745260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6335 (or 6322 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 33.

The square root of 45745260 is about 6763.5242292757. The cubic root of 45745260 is about 357.6421525414.

The spelling of 45745260 in words is "forty-five million, seven hundred forty-five thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 121 132 165 220 242 330 363 484 605 660 726 1210 1452 1815 2420 3630 6301 7260 12602 18903 25204 31505 37806 63010 69311 75612 94515 126020 138622 189030 207933 277244 346555 378060 415866 693110 762421 831732 1039665 1386220 1524842 2079330 2287263 3049684 3812105 4158660 4574526 7624210 9149052 11436315 15248420 22872630 45745260