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45754240 = 275721459
BaseRepresentation
bin1010111010001…
…0011110000000
310012002120000111
42232202132000
543203113430
64312401104
71063622200
oct256423600
9105076014
1045754240
1123910924
12133a6194
13962ca1c
146110400
15403bc2a
hex2ba2780

45754240 has 96 divisors (see below), whose sum is σ = 127326600. Its totient is φ = 15676416.

The previous prime is 45754229. The next prime is 45754271. The reversal of 45754240 is 4245754.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 30631 + ... + 32089.

Almost surely, 245754240 is an apocalyptic number.

45754240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45754240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63663300).

45754240 is an abundant number, since it is smaller than the sum of its proper divisors (81572360).

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

45754240 is a wasteful number, since it uses less digits than its factorization.

45754240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1492 (or 1473 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 31.

The square root of 45754240 is about 6764.1880517916. The cubic root of 45754240 is about 357.6655532639.

Adding to 45754240 its reverse (4245754), we get a palindrome (49999994).

The spelling of 45754240 in words is "forty-five million, seven hundred fifty-four thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 128 140 160 196 224 245 280 320 392 448 490 560 640 784 896 980 1120 1459 1568 1960 2240 2918 3136 3920 4480 5836 6272 7295 7840 10213 11672 14590 15680 20426 23344 29180 31360 40852 46688 51065 58360 71491 81704 93376 102130 116720 142982 163408 186752 204260 233440 285964 326816 357455 408520 466880 571928 653632 714910 817040 933760 1143856 1307264 1429820 1634080 2287712 2859640 3268160 4575424 5719280 6536320 9150848 11438560 22877120 45754240