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138255576 = 2332347732
BaseRepresentation
bin10000011110110…
…01110011011000
3100122011002222220
420033121303120
5240343134301
621415144040
73266103324
oct1017316330
9318132886
10138255576
1171050508
123a375020
1322849344
141450c984
15c20e936
hex83d9cd8

138255576 has 96 divisors (see below), whose sum is σ = 373455360. Its totient is φ = 42552576.

The previous prime is 138255563. The next prime is 138255581. The reversal of 138255576 is 675552831.

138255576 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1382555762 = 38229208590183552, which contains 22 as substring.

Its product of digits (252000) is a multiple of the sum of its prime factors (225).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1893876 + ... + 1893948.

It is an arithmetic number, because the mean of its divisors is an integer number (3890160).

Almost surely, 2138255576 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 138255576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186727680).

138255576 is an abundant number, since it is smaller than the sum of its proper divisors (235199784).

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

138255576 is a wasteful number, since it uses less digits than its factorization.

138255576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 148 counting only the distinct ones).

The product of its digits is 252000, while the sum is 42.

The square root of 138255576 is about 11758.2131295533. The cubic root of 138255576 is about 517.0837447132.

It can be divided in two parts, 138255 and 576, that added together give a palindrome (138831).

The spelling of 138255576 in words is "one hundred thirty-eight million, two hundred fifty-five thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 23 24 46 47 69 73 92 94 138 141 146 184 188 219 276 282 292 376 438 552 564 584 876 1081 1128 1679 1752 2162 3243 3358 3431 4324 5037 5329 6486 6716 6862 8648 10074 10293 10658 12972 13432 13724 15987 20148 20586 21316 25944 27448 31974 40296 41172 42632 63948 78913 82344 122567 127896 157826 236739 245134 250463 315652 367701 473478 490268 500926 631304 735402 751389 946956 980536 1001852 1470804 1502778 1893912 2003704 2941608 3005556 5760649 6011112 11521298 17281947 23042596 34563894 46085192 69127788 138255576