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45464256 = 2632174643
BaseRepresentation
bin1010110101101…
…1101011000000
310011112211020100
42231123223000
543114324011
64302242400
71061303565
oct255335300
9104484210
1045464256
1123732a72
1213286400
13955aa36
14607686c
153ed0d56
hex2b5bac0

45464256 has 84 divisors (see below), whose sum is σ = 138010392. Its totient is φ = 14260224.

The previous prime is 45464249. The next prime is 45464267. The reversal of 45464256 is 65246454.

45464256 is a `hidden beast` number, since 4 + 5 + 4 + 642 + 5 + 6 = 666.

45464256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 45464256.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 7471 + ... + 12113.

Almost surely, 245464256 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 45464256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69005196).

45464256 is an abundant number, since it is smaller than the sum of its proper divisors (92546136).

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

45464256 is a wasteful number, since it uses less digits than its factorization.

45464256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4678 (or 4665 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

The square root of 45464256 is about 6742.7187394997. The cubic root of 45464256 is about 356.9083398135.

The spelling of 45464256 in words is "forty-five million, four hundred sixty-four thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 136 144 153 192 204 272 288 306 408 544 576 612 816 1088 1224 1632 2448 3264 4643 4896 9286 9792 13929 18572 27858 37144 41787 55716 74288 78931 83574 111432 148576 157862 167148 222864 236793 297152 315724 334296 445728 473586 631448 668592 710379 891456 947172 1262896 1337184 1420758 1894344 2525792 2674368 2841516 3788688 5051584 5683032 7577376 11366064 15154752 22732128 45464256