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138849744 = 243111731499
BaseRepresentation
bin10000100011010…
…10110111010000
3100200021022001010
420101222313100
5241021142434
621440010520
73304126515
oct1021526720
9320238033
10138849744
1171416960
123a600a40
13229c6917
141462530c
15c2ca9e9
hex846add0

138849744 has 160 divisors (see below), whose sum is σ = 428544000. Its totient is φ = 38246400.

The previous prime is 138849707. The next prime is 138849751. The reversal of 138849744 is 447948831.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 138849693 and 138849702.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 278007 + ... + 278505.

It is an arithmetic number, because the mean of its divisors is an integer number (2678400).

Almost surely, 2138849744 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 138849744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214272000).

138849744 is an abundant number, since it is smaller than the sum of its proper divisors (289694256).

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

138849744 is a wasteful number, since it uses less digits than its factorization.

138849744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569 (or 563 counting only the distinct ones).

The product of its digits is 774144, while the sum is 48.

The square root of 138849744 is about 11783.4521257567. The cubic root of 138849744 is about 517.8234268456.

The spelling of 138849744 in words is "one hundred thirty-eight million, eight hundred forty-nine thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 31 33 34 44 48 51 62 66 68 88 93 102 124 132 136 176 186 187 204 248 264 272 341 372 374 408 496 499 527 528 561 682 744 748 816 998 1023 1054 1122 1364 1488 1496 1497 1581 1996 2046 2108 2244 2728 2992 2994 3162 3992 4092 4216 4488 5456 5489 5797 5988 6324 7984 8184 8432 8483 8976 10978 11594 11976 12648 15469 16368 16467 16966 17391 21956 23188 23952 25296 25449 30938 32934 33932 34782 43912 46376 46407 50898 61876 65868 67864 69564 87824 92752 92814 93313 101796 123752 131736 135728 139128 170159 185628 186626 203592 247504 262973 263472 278256 279939 340318 371256 373252 407184 510477 525946 559878 680636 742512 746504 788919 1020954 1051892 1119756 1361272 1493008 1577838 2041908 2103784 2239512 2722544 2892703 3155676 4083816 4207568 4479024 5785406 6311352 8167632 8678109 11570812 12622704 17356218 23141624 34712436 46283248 69424872 138849744