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49825408 = 27974013
BaseRepresentation
bin1011111000010…
…0011010000000
310110202101121111
42332010122000
5100223403113
64535533104
71143336403
oct276043200
9113671544
1049825408
1126141626
121482a194
13a426ab9
14688dd3a
15459313d
hex2f84680

49825408 has 32 divisors (see below), whose sum is σ = 100309860. Its totient is φ = 24649728.

The previous prime is 49825397. The next prime is 49825409. The reversal of 49825408 is 80452894.

It can be written as a sum of positive squares in 2 ways, for example, as 48553024 + 1272384 = 6968^2 + 1128^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (49825409) 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, 10410 + ... + 14422.

Almost surely, 249825408 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 49825408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50154930).

49825408 is an abundant number, since it is smaller than the sum of its proper divisors (50484452).

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

49825408 is an equidigital number, since it uses as much as digits as its factorization.

49825408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4124 (or 4112 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 40.

The square root of 49825408 is about 7058.7114971502. The cubic root of 49825408 is about 367.9738481731.

The spelling of 49825408 in words is "forty-nine million, eight hundred twenty-five thousand, four hundred eight".

Divisors: 1 2 4 8 16 32 64 97 128 194 388 776 1552 3104 4013 6208 8026 12416 16052 32104 64208 128416 256832 389261 513664 778522 1557044 3114088 6228176 12456352 24912704 49825408