Search a number
-
+
157133592 = 233272114049
BaseRepresentation
bin10010101110110…
…10101100011000
3101221200012202200
421113122230120
5310211233332
623331530200
73615420300
oct1127325430
9357605680
10157133592
1180774880
1244759960
1326728b75
1416c24600
15dbdd17c
hex95dab18

157133592 has 144 divisors (see below), whose sum is σ = 540189000. Its totient is φ = 40803840.

The previous prime is 157133531. The next prime is 157133597. The reversal of 157133592 is 295331751.

157133592 is a `hidden beast` number, since 1 + 57 + 13 + 3 + 592 = 666.

157133592 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157133597) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 36784 + ... + 40832.

Almost surely, 2157133592 is an apocalyptic number.

157133592 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157133592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270094500).

157133592 is an abundant number, since it is smaller than the sum of its proper divisors (383055408).

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

157133592 is a wasteful number, since it uses less digits than its factorization.

157133592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4086 (or 4072 counting only the distinct ones).

The product of its digits is 28350, while the sum is 36.

The square root of 157133592 is about 12535.2938537555. The cubic root of 157133592 is about 539.6220400445.

The spelling of 157133592 in words is "one hundred fifty-seven million, one hundred thirty-three thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 28 33 36 42 44 49 56 63 66 72 77 84 88 98 99 126 132 147 154 168 196 198 231 252 264 294 308 392 396 441 462 504 539 588 616 693 792 882 924 1078 1176 1386 1617 1764 1848 2156 2772 3234 3528 4049 4312 4851 5544 6468 8098 9702 12147 12936 16196 19404 24294 28343 32392 36441 38808 44539 48588 56686 72882 85029 89078 97176 113372 133617 145764 170058 178156 198401 226744 255087 267234 291528 311773 340116 356312 396802 400851 510174 534468 595203 623546 680232 793604 801702 935319 1020348 1068936 1190406 1247092 1587208 1603404 1785609 1870638 2040696 2182411 2380812 2494184 2805957 3206808 3571218 3741276 4364822 4761624 5611914 6547233 7142436 7482552 8729644 11223828 13094466 14284872 17459288 19641699 22447656 26188932 39283398 52377864 78566796 157133592