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157051050 = 235213431873
BaseRepresentation
bin10010101110001…
…10100010101010
3101221112000112120
421113012202222
5310201113200
623330052110
73614624532
oct1127064252
9357460476
10157051050
1180718862
124471a036
13266ca420
1416c024c2
15dbc39a0
hex95c68aa

157051050 has 96 divisors (see below), whose sum is σ = 429430848. Its totient is φ = 37739520.

The previous prime is 157051039. The next prime is 157051057. The reversal of 157051050 is 50150751.

It is a super-2 number, since 2×1570510502 = 49330064612205000, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 157051050.

It is not an unprimeable number, because it can be changed into a prime (157051057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 82914 + ... + 84786.

It is an arithmetic number, because the mean of its divisors is an integer number (4473238).

Almost surely, 2157051050 is an apocalyptic number.

157051050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 157051050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214715424).

157051050 is an abundant number, since it is smaller than the sum of its proper divisors (272379798).

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

157051050 is a wasteful number, since it uses less digits than its factorization.

157051050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1944 (or 1939 counting only the distinct ones).

The product of its (nonzero) digits is 875, while the sum is 24.

The square root of 157051050 is about 12532.0010373444. The cubic root of 157051050 is about 539.5275359916.

The spelling of 157051050 in words is "one hundred fifty-seven million, fifty-one thousand, fifty".

Divisors: 1 2 3 5 6 10 13 15 25 26 30 39 43 50 65 75 78 86 129 130 150 195 215 258 325 390 430 559 645 650 975 1075 1118 1290 1677 1873 1950 2150 2795 3225 3354 3746 5590 5619 6450 8385 9365 11238 13975 16770 18730 24349 27950 28095 41925 46825 48698 56190 73047 80539 83850 93650 121745 140475 146094 161078 241617 243490 280950 365235 402695 483234 608725 730470 805390 1047007 1208085 1217450 1826175 2013475 2094014 2416170 3141021 3652350 4026950 5235035 6040425 6282042 10470070 12080850 15705105 26175175 31410210 52350350 78525525 157051050