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49627136 = 21413233
BaseRepresentation
bin1011110101010…
…0000000000000
310110101022122002
42331110000000
5100201032021
64531403132
71141552346
oct275240000
9113338562
1049627136
1126016669
12147534a8
13a387790
14683b996
15455450b
hex2f54000

49627136 has 60 divisors (see below), whose sum is σ = 107344692. Its totient is φ = 22806528.

The previous prime is 49627103. The next prime is 49627139. The reversal of 49627136 is 63172694.

It can be written as a sum of positive squares in 2 ways, for example, as 8667136 + 40960000 = 2944^2 + 6400^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 49627136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49627139) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 212876 + ... + 213108.

Almost surely, 249627136 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 49627136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53672346).

49627136 is an abundant number, since it is smaller than the sum of its proper divisors (57717556).

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

49627136 is an equidigital number, since it uses as much as digits as its factorization.

49627136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 248 counting only the distinct ones).

The product of its digits is 54432, while the sum is 38.

The square root of 49627136 is about 7044.6530077783. The cubic root of 49627136 is about 367.4851022082.

The spelling of 49627136 in words is "forty-nine million, six hundred twenty-seven thousand, one hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 233 256 416 466 512 832 932 1024 1664 1864 2048 3029 3328 3728 4096 6058 6656 7456 8192 12116 13312 14912 16384 24232 26624 29824 48464 53248 59648 96928 106496 119296 193856 212992 238592 387712 477184 775424 954368 1550848 1908736 3101696 3817472 6203392 12406784 24813568 49627136