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49434264 = 23321162417
BaseRepresentation
bin1011110010010…
…0111010011000
310110000112001200
42330210322120
5100123344024
64523314200
71140120135
oct274447230
9113015050
1049434264
11259a4770
121467b960
13a31aa59
1467cb58c
1545172c9
hex2f24e98

49434264 has 48 divisors (see below), whose sum is σ = 146058120. Its totient is φ = 14979840.

The previous prime is 49434263. The next prime is 49434277. The reversal of 49434264 is 46243494.

49434264 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 nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49434263) by changing a digit.

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, 30417 + ... + 32000.

Almost surely, 249434264 is an apocalyptic number.

49434264 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

49434264 is an abundant number, since it is smaller than the sum of its proper divisors (96623856).

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

49434264 is a wasteful number, since it uses less digits than its factorization.

49434264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62440 (or 62433 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 49434264 is about 7030.9504336185. The cubic root of 49434264 is about 367.0084167279.

The spelling of 49434264 in words is "forty-nine million, four hundred thirty-four thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 62417 124834 187251 249668 374502 499336 561753 686587 749004 1123506 1373174 1498008 2059761 2247012 2746348 4119522 4494024 5492696 6179283 8239044 12358566 16478088 24717132 49434264