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49105040 = 245613813
BaseRepresentation
bin1011101101010…
…0100010010000
310102101210110012
42323110202100
5100032330130
64512254052
71134246245
oct273244220
9112353405
1049105040
112579a386
1214541328
13a233c4a
1467435cc
15449e995
hex2ed4890

49105040 has 20 divisors (see below), whose sum is σ = 114169404. Its totient is φ = 19641984.

The previous prime is 49105039. The next prime is 49105081. The reversal of 49105040 is 4050194.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 23541904 + 25563136 = 4852^2 + 5056^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×491050402 = 4822609906803200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 49104997 and 49105015.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 306827 + ... + 306986.

Almost surely, 249105040 is an apocalyptic number.

49105040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

49105040 is an abundant number, since it is smaller than the sum of its proper divisors (65064364).

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

49105040 is a wasteful number, since it uses less digits than its factorization.

49105040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613826 (or 613820 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 49105040 is about 7007.4988405279. The cubic root of 49105040 is about 366.1918629352.

The spelling of 49105040 in words is "forty-nine million, one hundred five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 613813 1227626 2455252 3069065 4910504 6138130 9821008 12276260 24552520 49105040