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49585040 = 245619813
BaseRepresentation
bin1011110100100…
…1101110010000
310110022011212222
42331021232100
5100143210130
64530440212
71141315541
oct275115620
9113264788
1049585040
1125a97a7a
1214733068
13a37157b
14682a4c8
154546ce5
hex2f49b90

49585040 has 20 divisors (see below), whose sum is σ = 115285404. Its totient is φ = 19833984.

The previous prime is 49585037. The next prime is 49585043. The reversal of 49585040 is 4058594.

49585040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (49585037) and next prime (49585043).

It can be written as a sum of positive squares in 2 ways, for example, as 35236096 + 14348944 = 5936^2 + 3788^2 .

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

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (49585043) 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 3 ways as a sum of consecutive naturals, for example, 309827 + ... + 309986.

Almost surely, 249585040 is an apocalyptic number.

49585040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

49585040 is an abundant number, since it is smaller than the sum of its proper divisors (65700364).

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

49585040 is a wasteful number, since it uses less digits than its factorization.

49585040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619826 (or 619820 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 35.

The square root of 49585040 is about 7041.6645759366. The cubic root of 49585040 is about 367.3811669408.

The spelling of 49585040 in words is "forty-nine million, five hundred eighty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 619813 1239626 2479252 3099065 4958504 6198130 9917008 12396260 24792520 49585040