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49684896 = 2532172517
BaseRepresentation
bin1011110110001…
…0000110100000
310110111020212100
42331202012200
5100204404041
64532530400
71142212632
oct275420640
9113436770
1049684896
1126055aa8
1214780a00
13a3a7b61
146854a52
1545666b6
hex2f621a0

49684896 has 36 divisors (see below), whose sum is σ = 141292242. Its totient is φ = 16561536.

The previous prime is 49684891. The next prime is 49684913. The reversal of 49684896 is 69848694.

It can be written as a sum of positive squares in only one way, i.e., 49280400 + 404496 = 7020^2 + 636^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is not an unprimeable number, because it can be changed into a prime (49684891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 85971 + ... + 86546.

Almost surely, 249684896 is an apocalyptic number.

It is an amenable number.

49684896 is an abundant number, since it is smaller than the sum of its proper divisors (91607346).

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

49684896 is a wasteful number, since it uses less digits than its factorization.

49684896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172533 (or 172522 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The square root of 49684896 is about 7048.7513787904. The cubic root of 49684896 is about 367.6276163763.

The spelling of 49684896 in words is "forty-nine million, six hundred eighty-four thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 172517 345034 517551 690068 1035102 1380136 1552653 2070204 2760272 3105306 4140408 5520544 6210612 8280816 12421224 16561632 24842448 49684896