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50157135 = 3257223243
BaseRepresentation
bin1011111101010…
…1011001001111
310111101020122200
42333111121033
5100320012020
64551012543
71146220500
oct277253117
9114336580
1050157135
1126348886
121496a153
13a511aa2
146938ba7
15460b590
hex2fd564f

50157135 has 108 divisors (see below), whose sum is σ = 108180072. Its totient is φ = 21422016.

The previous prime is 50157103. The next prime is 50157137. The reversal of 50157135 is 53175105.

It is not a de Polignac number, because 50157135 - 25 = 50157103 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 50157099 and 50157108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50157137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1166424 + ... + 1166466.

Almost surely, 250157135 is an apocalyptic number.

50157135 is an abundant number, since it is smaller than the sum of its proper divisors (58022937).

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

50157135 is a wasteful number, since it uses less digits than its factorization.

50157135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 2625, while the sum is 27.

The square root of 50157135 is about 7082.1702182311. The cubic root of 50157135 is about 368.7886731440.

The spelling of 50157135 in words is "fifty million, one hundred fifty-seven thousand, one hundred thirty-five".

Divisors: 1 3 5 7 9 15 21 23 35 43 45 49 63 69 105 115 129 147 161 207 215 245 301 315 345 387 441 483 529 645 735 805 903 989 1035 1127 1449 1505 1587 1935 2107 2205 2415 2645 2709 2967 3381 3703 4515 4761 4945 5635 6321 6923 7245 7935 8901 10143 10535 11109 13545 14835 16905 18515 18963 20769 22747 23805 25921 31605 33327 34615 44505 48461 50715 55545 62307 68241 77763 94815 103845 113735 129605 145383 159229 166635 204723 233289 242305 311535 341205 388815 436149 477687 726915 796145 1023615 1114603 1166445 1433061 2180745 2388435 3343809 5573015 7165305 10031427 16719045 50157135