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137762046 = 236194973
BaseRepresentation
bin10000011011000…
…01010011111110
3100121020001000000
420031201103332
5240231341141
621400415130
73261646422
oct1015412376
9317201000
10137762046
1170843734
123a1774a6
1322705806
1414420b82
15c1635b6
hex83614fe

137762046 has 56 divisors (see below), whose sum is σ = 326194920. Its totient is φ = 43495056.

The previous prime is 137762021. The next prime is 137762057. The reversal of 137762046 is 640267731.

137762046 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 2×1377620462 = 37956762636212232, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 137762046.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 25216 + ... + 30188.

Almost surely, 2137762046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137762046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163097460).

137762046 is an abundant number, since it is smaller than the sum of its proper divisors (188432874).

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

137762046 is an equidigital number, since it uses as much as digits as its factorization.

137762046 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5012 (or 4997 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 137762046 is about 11737.2077599402. The cubic root of 137762046 is about 516.4677343525.

The spelling of 137762046 in words is "one hundred thirty-seven million, seven hundred sixty-two thousand, forty-six".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 81 114 162 171 243 342 486 513 729 1026 1458 1539 3078 4617 4973 9234 9946 13851 14919 27702 29838 44757 89514 94487 134271 188974 268542 283461 402813 566922 805626 850383 1208439 1700766 2416878 2551149 3625317 5102298 7250634 7653447 15306894 22960341 45920682 68881023 137762046