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137033428 = 227137139257
BaseRepresentation
bin10000010101011…
…11011011010100
3100112212000112011
420022233123110
5240040032203
621333034004
73252523240
oct1012573324
9315760464
10137033428
1170396274
1239a85904
132250bc8c
14142b1420
15c06c76d
hex82af6d4

137033428 has 48 divisors (see below), whose sum is σ = 279135360. Its totient is φ = 57655296.

The previous prime is 137033417. The next prime is 137033431. The reversal of 137033428 is 824330731.

137033428 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 137033428.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 533076 + ... + 533332.

It is an arithmetic number, because the mean of its divisors is an integer number (5815320).

Almost surely, 2137033428 is an apocalyptic number.

It is an amenable number.

137033428 is an abundant number, since it is smaller than the sum of its proper divisors (142101932).

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

137033428 is a wasteful number, since it uses less digits than its factorization.

137033428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 31.

The square root of 137033428 is about 11706.1277970130. The cubic root of 137033428 is about 515.5555985833. Note that the first 4 decimals are identical.

The spelling of 137033428 in words is "one hundred thirty-seven million, thirty-three thousand, four hundred twenty-eight".

Divisors: 1 2 4 7 14 28 137 139 257 274 278 514 548 556 959 973 1028 1799 1918 1946 3598 3836 3892 7196 19043 35209 35723 38086 70418 71446 76172 133301 140836 142892 246463 250061 266602 492926 500122 533204 985852 1000244 4894051 9788102 19576204 34258357 68516714 137033428