Search a number
-
+
45018048 = 263376337
BaseRepresentation
bin1010101110111…
…0101111000000
310010201011011010
42223232233000
543011034143
64244520520
71054434645
oct253565700
9103634133
1045018048
11234587a9
12130b0140
1394328ca
145d9bdcc
153e43a33
hex2aeebc0

45018048 has 56 divisors (see below), whose sum is σ = 122348752. Its totient is φ = 14598144.

The previous prime is 45018031. The next prime is 45018053. The reversal of 45018048 is 84081054.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3936 + ... + 10272.

Almost surely, 245018048 is an apocalyptic number.

45018048 is a gapful number since it is divisible by the number (48) 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 45018048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61174376).

45018048 is an abundant number, since it is smaller than the sum of its proper divisors (77330704).

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

45018048 is a wasteful number, since it uses less digits than its factorization.

45018048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6389 (or 6379 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 45018048 is about 6709.5490161411. The cubic root of 45018048 is about 355.7368758047.

The spelling of 45018048 in words is "forty-five million, eighteen thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 148 192 222 296 444 592 888 1184 1776 2368 3552 6337 7104 12674 19011 25348 38022 50696 76044 101392 152088 202784 234469 304176 405568 468938 608352 703407 937876 1216704 1406814 1875752 2813628 3751504 5627256 7503008 11254512 15006016 22509024 45018048