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49723920 = 2432569061
BaseRepresentation
bin1011110110101…
…1101000010000
310110120020101200
42331223220100
5100212131140
64533431200
71142434461
oct275535020
9113506350
1049723920
1126082354
121479b500
13a3bc84c
146864d68
154573030
hex2f6ba10

49723920 has 60 divisors (see below), whose sum is σ = 166991916. Its totient is φ = 13259520.

The previous prime is 49723909. The next prime is 49723981. The reversal of 49723920 is 2932794.

49723920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 25280784 + 24443136 = 5028^2 + 4944^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 33811 + ... + 35250.

Almost surely, 249723920 is an apocalyptic number.

49723920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

49723920 is an abundant number, since it is smaller than the sum of its proper divisors (117267996).

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

49723920 is a wasteful number, since it uses less digits than its factorization.

49723920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69080 (or 69071 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 49723920 is about 7051.5189852967. The cubic root of 49723920 is about 367.7238397553.

The spelling of 49723920 in words is "forty-nine million, seven hundred twenty-three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 69061 138122 207183 276244 345305 414366 552488 621549 690610 828732 1035915 1104976 1243098 1381220 1657464 2071830 2486196 2762440 3107745 3314928 4143660 4972392 5524880 6215490 8287320 9944784 12430980 16574640 24861960 49723920