Search a number
-
+
45736512 = 2632310357
BaseRepresentation
bin1010111001111…
…0001001000000
310012001122200220
42232132021000
543202032022
64312143040
71063516413
oct256361100
9105048626
1045736512
11238a9578
1213397a80
139624933
146107b7a
15403685c
hex2b9e240

45736512 has 56 divisors (see below), whose sum is σ = 126284736. Its totient is φ = 14581248.

The previous prime is 45736507. The next prime is 45736513. The reversal of 45736512 is 21563754.

It is a super-2 number, since 2×457365122 = 4183657059852288, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (45736513) 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 7 ways as a sum of consecutive naturals, for example, 763 + ... + 9594.

Almost surely, 245736512 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 45736512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63142368).

45736512 is an abundant number, since it is smaller than the sum of its proper divisors (80548224).

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

45736512 is a wasteful number, since it uses less digits than its factorization.

45736512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10395 (or 10385 counting only the distinct ones).

The product of its digits is 25200, while the sum is 33.

The square root of 45736512 is about 6762.8774940849. The cubic root of 45736512 is about 357.6193534361.

The spelling of 45736512 in words is "forty-five million, seven hundred thirty-six thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 138 184 192 276 368 552 736 1104 1472 2208 4416 10357 20714 31071 41428 62142 82856 124284 165712 238211 248568 331424 476422 497136 662848 714633 952844 994272 1429266 1905688 1988544 2858532 3811376 5717064 7622752 11434128 15245504 22868256 45736512