Search a number
-
+
45048048 = 2434632027
BaseRepresentation
bin1010101111011…
…0000011110000
310010202200022020
42223312003300
543013014143
64245311440
71054621263
oct253660360
9103680266
1045048048
11234792a1
1213105580
139443466
145da8cda
153e4c883
hex2af60f0

45048048 has 40 divisors (see below), whose sum is σ = 116683008. Its totient is φ = 14976192.

The previous prime is 45048037. The next prime is 45048071. The reversal of 45048048 is 84084054.

45048048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×450480482 = 4058653257220608, 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 (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21211 + ... + 23237.

Almost surely, 245048048 is an apocalyptic number.

45048048 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

45048048 is an abundant number, since it is smaller than the sum of its proper divisors (71634960).

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

45048048 is a wasteful number, since it uses less digits than its factorization.

45048048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2501 (or 2495 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 33.

The square root of 45048048 is about 6711.7842635174. The cubic root of 45048048 is about 355.8158792044.

The spelling of 45048048 in words is "forty-five million, forty-eight thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 463 926 1389 1852 2027 2778 3704 4054 5556 6081 7408 8108 11112 12162 16216 22224 24324 32432 48648 97296 938501 1877002 2815503 3754004 5631006 7508008 11262012 15016016 22524024 45048048