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45764740 = 22571092999
BaseRepresentation
bin1010111010010…
…1000010000100
310012010002102101
42232211002010
543203432430
64312521444
71063664620
oct256450204
9105102371
1045764740
11239187aa
12133b0284
139634738
146114180
15403edca
hex2ba5084

45764740 has 48 divisors (see below), whose sum is σ = 110880000. Its totient is φ = 15541632.

The previous prime is 45764737. The next prime is 45764743. The reversal of 45764740 is 4746754.

It is an interprime number because it is at equal distance from previous prime (45764737) and next prime (45764743).

It is a super-2 number, since 2×457647402 = 4188822854535200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 45764740.

It is not an unprimeable number, because it can be changed into a prime (45764743) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13761 + ... + 16759.

It is an arithmetic number, because the mean of its divisors is an integer number (2310000).

Almost surely, 245764740 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 45764740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55440000).

45764740 is an abundant number, since it is smaller than the sum of its proper divisors (65115260).

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

45764740 is a wasteful number, since it uses less digits than its factorization.

45764740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3124 (or 3122 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 37.

The square root of 45764740 is about 6764.9641536375. The cubic root of 45764740 is about 357.6929110277.

It can be divided in two parts, 4576 and 4740, that added together give a triangular number (9316 = T136).

The spelling of 45764740 in words is "forty-five million, seven hundred sixty-four thousand, seven hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 109 140 218 436 545 763 1090 1526 2180 2999 3052 3815 5998 7630 11996 14995 15260 20993 29990 41986 59980 83972 104965 209930 326891 419860 653782 1307564 1634455 2288237 3268910 4576474 6537820 9152948 11441185 22882370 45764740