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138804424 = 23112197547
BaseRepresentation
bin10000100010111…
…11110011001000
3100200011222212121
420101133303020
5241013220144
621435021024
73303550423
oct1021376310
9320158777
10138804424
1171395900
123a59a774
13229ac0c5
14146129ba
15c2bc384
hex845fcc8

138804424 has 48 divisors (see below), whose sum is σ = 301165200. Its totient is φ = 59764320.

The previous prime is 138804409. The next prime is 138804433. The reversal of 138804424 is 424408831.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 138804424.

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, 14619 + ... + 22165.

It is an arithmetic number, because the mean of its divisors is an integer number (6274275).

Almost surely, 2138804424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138804424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150582600).

138804424 is an abundant number, since it is smaller than the sum of its proper divisors (162360776).

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

138804424 is a wasteful number, since it uses less digits than its factorization.

138804424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7594 (or 7579 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 34.

The square root of 138804424 is about 11781.5289330375. The cubic root of 138804424 is about 517.7670822178.

The spelling of 138804424 in words is "one hundred thirty-eight million, eight hundred four thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 19 22 38 44 76 88 121 152 209 242 418 484 836 968 1672 2299 4598 7547 9196 15094 18392 30188 60376 83017 143393 166034 286786 332068 573572 664136 913187 1147144 1577323 1826374 3154646 3652748 6309292 7305496 12618584 17350553 34701106 69402212 138804424