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49924320 = 2535104009
BaseRepresentation
bin1011111001110…
…0100011100000
310110221102021220
42332130203200
5100240034240
64542015040
71144230645
oct276344340
9113842256
1049924320
11261a9976
1214877480
13a45cb24
1468b7dcc
1545b25d0
hex2f9c8e0

49924320 has 48 divisors (see below), whose sum is σ = 157263120. Its totient is φ = 13313024.

The previous prime is 49924279. The next prime is 49924327. The reversal of 49924320 is 2342994.

49924320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49924327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51525 + ... + 52484.

It is an arithmetic number, because the mean of its divisors is an integer number (3276315).

Almost surely, 249924320 is an apocalyptic number.

49924320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

49924320 is an abundant number, since it is smaller than the sum of its proper divisors (107338800).

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

49924320 is a wasteful number, since it uses less digits than its factorization.

49924320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104027 (or 104019 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 49924320 is about 7065.7144012478. The cubic root of 49924320 is about 368.2171843374.

The spelling of 49924320 in words is "forty-nine million, nine hundred twenty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 104009 208018 312027 416036 520045 624054 832072 1040090 1248108 1560135 1664144 2080180 2496216 3120270 3328288 4160360 4992432 6240540 8320720 9984864 12481080 16641440 24962160 49924320