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49829904 = 243438449
BaseRepresentation
bin1011111000010…
…1100000010000
310110202121210000
42332011200100
5100224024104
64540010000
71143355455
oct276054020
9113677700
1049829904
1126144a43
1214830900
13a428b67
14689182c
154594639
hex2f85810

49829904 has 50 divisors (see below), whose sum is σ = 144225950. Its totient is φ = 16609536.

The previous prime is 49829903. The next prime is 49829929. The reversal of 49829904 is 40992894.

It can be written as a sum of positive squares in only one way, i.e., 27248400 + 22581504 = 5220^2 + 4752^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 49829904.

It is not an unprimeable number, because it can be changed into a prime (49829903) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 17929 + ... + 20520.

It is an arithmetic number, because the mean of its divisors is an integer number (2884519).

Almost surely, 249829904 is an apocalyptic number.

It is an amenable number.

49829904 is an abundant number, since it is smaller than the sum of its proper divisors (94396046).

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

49829904 is a wasteful number, since it uses less digits than its factorization.

49829904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38469 (or 38454 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 49829904 is about 7059.0299616874. The cubic root of 49829904 is about 367.9849158909.

The spelling of 49829904 in words is "forty-nine million, eight hundred twenty-nine thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 38449 76898 115347 153796 230694 307592 346041 461388 615184 692082 922776 1038123 1384164 1845552 2076246 2768328 3114369 4152492 5536656 6228738 8304984 12457476 16609968 24914952 49829904