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138526452 = 223210913527
BaseRepresentation
bin10000100000110…
…11111011110100
3100122122212120100
420100123323310
5240430321302
621425034100
73301312131
oct1020337364
9318585510
10138526452
1171215a79
123a485930
132291271c
141457d588
15c264d1c
hex841bef4

138526452 has 36 divisors (see below), whose sum is σ = 350584416. Its totient is φ = 46120080.

The previous prime is 138526441. The next prime is 138526459. The reversal of 138526452 is 254625831.

138526452 is a `hidden beast` number, since 1 + 3 + 8 + 5 + 2 + 645 + 2 = 666.

138526452 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 (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138526459) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37513 + ... + 41039.

It is an arithmetic number, because the mean of its divisors is an integer number (9738456).

Almost surely, 2138526452 is an apocalyptic number.

138526452 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

138526452 is an abundant number, since it is smaller than the sum of its proper divisors (212057964).

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

138526452 is a wasteful number, since it uses less digits than its factorization.

138526452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4628 (or 4623 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 138526452 is about 11769.7260800751. The cubic root of 138526452 is about 517.4212216427.

The spelling of 138526452 in words is "one hundred thirty-eight million, five hundred twenty-six thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 1091 2182 3273 3527 4364 6546 7054 9819 10581 13092 14108 19638 21162 31743 39276 42324 63486 126972 3847957 7695914 11543871 15391828 23087742 34631613 46175484 69263226 138526452