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45964974 = 23111771577
BaseRepresentation
bin1010111101010…
…1111010101110
310012111021002110
42233111322232
543231334344
64321104450
71065460446
oct257257256
9105437073
1045964974
1123a45190
1213488126
1396a4913
146167126
15407e3b9
hex2bd5eae

45964974 has 64 divisors (see below), whose sum is σ = 107868672. Its totient is φ = 12902400.

The previous prime is 45964969. The next prime is 45964987. The reversal of 45964974 is 47946954.

It is a happy number.

It is a super-2 number, since 2×459649742 = 4225557669641352, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79374 + ... + 79950.

It is an arithmetic number, because the mean of its divisors is an integer number (1685448).

Almost surely, 245964974 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45964974, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53934336).

45964974 is an abundant number, since it is smaller than the sum of its proper divisors (61903698).

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

45964974 is a wasteful number, since it uses less digits than its factorization.

45964974 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681.

The product of its digits is 1088640, while the sum is 48.

The square root of 45964974 is about 6779.7473404250. The cubic root of 45964974 is about 358.2138221005.

The spelling of 45964974 in words is "forty-five million, nine hundred sixty-four thousand, nine hundred seventy-four".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 71 102 142 187 213 374 426 561 577 781 1122 1154 1207 1562 1731 2343 2414 3462 3621 4686 6347 7242 9809 12694 13277 19041 19618 26554 29427 38082 39831 40967 58854 79662 81934 107899 122901 215798 245802 323697 450637 647394 696439 901274 1351911 1392878 2089317 2703822 4178634 7660829 15321658 22982487 45964974