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138801488 = 2475367349
BaseRepresentation
bin10000100010111…
…11000101010000
3100200011211211212
420101133011100
5241013121423
621434555252
73303536030
oct1021370520
9320154755
10138801488
1171393681
123a598b28
13229aa977
14146118c0
15c2bb578
hex845f150

138801488 has 80 divisors (see below), whose sum is σ = 318729600. Its totient is φ = 57328128.

The previous prime is 138801469. The next prime is 138801491. The reversal of 138801488 is 884108831.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 397538 + ... + 397886.

It is an arithmetic number, because the mean of its divisors is an integer number (3984120).

Almost surely, 2138801488 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 138801488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159364800).

138801488 is an abundant number, since it is smaller than the sum of its proper divisors (179928112).

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

138801488 is a wasteful number, since it uses less digits than its factorization.

138801488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 41.

The square root of 138801488 is about 11781.4043305541. The cubic root of 138801488 is about 517.7634315780.

The spelling of 138801488 in words is "one hundred thirty-eight million, eight hundred one thousand, four hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 53 56 67 106 112 134 212 268 349 371 424 469 536 698 742 848 938 1072 1396 1484 1876 2443 2792 2968 3551 3752 4886 5584 5936 7102 7504 9772 14204 18497 19544 23383 24857 28408 36994 39088 46766 49714 56816 73988 93532 99428 129479 147976 163681 187064 198856 258958 295952 327362 374128 397712 517916 654724 1035832 1239299 1309448 2071664 2478598 2618896 4957196 8675093 9914392 17350186 19828784 34700372 69400744 138801488