Search a number
-
+
49335264 = 25331129179
BaseRepresentation
bin1011110000110…
…0101111100000
310102211111021000
42330030233200
5100112212024
64521232000
71136225406
oct274145740
9112744230
1049335264
1125937350
1214632600
13a2b4984
1467a3476
1544e7cc9
hex2f0cbe0

49335264 has 192 divisors, whose sum is σ = 163296000. Its totient is φ = 14353920.

The previous prime is 49335257. The next prime is 49335287. The reversal of 49335264 is 46253394.

49335264 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 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 31 ways as a sum of consecutive naturals, for example, 275527 + ... + 275705.

It is an arithmetic number, because the mean of its divisors is an integer number (850500).

Almost surely, 249335264 is an apocalyptic number.

49335264 is a gapful number since it is divisible by the number (44) 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 49335264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81648000).

49335264 is an abundant number, since it is smaller than the sum of its proper divisors (113960736).

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

49335264 is a wasteful number, since it uses less digits than its factorization.

49335264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 224 counting only the distinct ones).

The product of its digits is 77760, while the sum is 36.

The square root of 49335264 is about 7023.9066053016. The cubic root of 49335264 is about 366.7632553621.

The spelling of 49335264 in words is "forty-nine million, three hundred thirty-five thousand, two hundred sixty-four".