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49290032 = 24111032719
BaseRepresentation
bin1011110000000…
…1101100110000
310102202012012202
42330001230300
5100104240112
64520242332
71135646501
oct274015460
9112665182
1049290032
1125906370
12146103a8
13a29a1cc
146790ba8
1544d96c2
hex2f01b30

49290032 has 40 divisors (see below), whose sum is σ = 105231360. Its totient is φ = 22178880.

The previous prime is 49290011. The next prime is 49290041. The reversal of 49290032 is 23009294.

It is a super-2 number, since 2×492900322 = 4859014509122048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 49289977 and 49290004.

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 7 ways as a sum of consecutive naturals, for example, 16769 + ... + 19487.

It is an arithmetic number, because the mean of its divisors is an integer number (2630784).

Almost surely, 249290032 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 49290032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52615680).

49290032 is an abundant number, since it is smaller than the sum of its proper divisors (55941328).

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

49290032 is a wasteful number, since it uses less digits than its factorization.

49290032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2841 (or 2835 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 29.

The square root of 49290032 is about 7020.6860063672. The cubic root of 49290032 is about 366.6511346956.

The spelling of 49290032 in words is "forty-nine million, two hundred ninety thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 44 88 103 176 206 412 824 1133 1648 2266 2719 4532 5438 9064 10876 18128 21752 29909 43504 59818 119636 239272 280057 478544 560114 1120228 2240456 3080627 4480912 6161254 12322508 24645016 49290032