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138407888 = 2414958057
BaseRepresentation
bin10000011111111…
…10111111010000
3100122102211221002
420033332333100
5240413023023
621422321132
73300306353
oct1017767720
9318384832
10138407888
1171144993
123a4291a8
13228a0778
141454c29a
15c23eb28
hex83fefd0

138407888 has 20 divisors (see below), whose sum is σ = 269969700. Its totient is φ = 68738304.

The previous prime is 138407887. The next prime is 138407891. The reversal of 138407888 is 888704831.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 37847104 + 100560784 = 6152^2 + 10028^2 .

It is a super-3 number, since 3×1384078883 (a number of 25 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138407887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 26645 + ... + 31412.

It is an arithmetic number, because the mean of its divisors is an integer number (13498485).

Almost surely, 2138407888 is an apocalyptic number.

It is an amenable number.

138407888 is a deficient number, since it is larger than the sum of its proper divisors (131561812).

138407888 is a wasteful number, since it uses less digits than its factorization.

138407888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58214 (or 58208 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 47.

The square root of 138407888 is about 11764.6881811632. The cubic root of 138407888 is about 517.2735602165.

The spelling of 138407888 in words is "one hundred thirty-eight million, four hundred seven thousand, eight hundred eighty-eight".

Divisors: 1 2 4 8 16 149 298 596 1192 2384 58057 116114 232228 464456 928912 8650493 17300986 34601972 69203944 138407888