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137884842 = 2342513391
BaseRepresentation
bin10000011011111…
…11010010101010
3100121110021110000
420031333102222
5240244303332
621403203430
73263000424
oct1015772252
9317407400
10137884842
1170917a17
123a216576
1322749684
1414453814
15c189b7c
hex837f4aa

137884842 has 40 divisors (see below), whose sum is σ = 310286592. Its totient is φ = 45765000.

The previous prime is 137884823. The next prime is 137884847. The reversal of 137884842 is 248488731.

It is not an unprimeable number, because it can be changed into a prime (137884847) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 38967 + ... + 42357.

Almost surely, 2137884842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137884842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155143296).

137884842 is an abundant number, since it is smaller than the sum of its proper divisors (172401750).

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

137884842 is a wasteful number, since it uses less digits than its factorization.

137884842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3656 (or 3647 counting only the distinct ones).

The product of its digits is 344064, while the sum is 45.

The square root of 137884842 is about 11742.4376515270. The cubic root of 137884842 is about 516.6211422023.

The spelling of 137884842 in words is "one hundred thirty-seven million, eight hundred eighty-four thousand, eight hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 251 502 753 1506 2259 3391 4518 6777 6782 10173 13554 20331 20346 30519 40662 61038 91557 183114 274671 549342 851141 1702282 2553423 5106846 7660269 15320538 22980807 45961614 68942421 137884842