Search a number
-
+
157991288 = 23731343103
BaseRepresentation
bin10010110101011…
…00000101111000
3102000021210022012
421122230011320
5310421210123
623402145052
73625622000
oct1132540570
9360253265
10157991288
1181200214
1244ab2188
1326969390
1416da9000
15dd0c378
hex96ac178

157991288 has 128 divisors (see below), whose sum is σ = 384384000. Its totient is φ = 60455808.

The previous prime is 157991279. The next prime is 157991297. The reversal of 157991288 is 882199751.

It is an interprime number because it is at equal distance from previous prime (157991279) and next prime (157991297).

It is a super-2 number, since 2×1579912882 = 49922494167797888, which contains 22 as substring.

Its product of digits (362880) is a multiple of the sum of its prime divisors (168).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1533845 + ... + 1533947.

It is an arithmetic number, because the mean of its divisors is an integer number (3003000).

Almost surely, 2157991288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157991288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192192000).

157991288 is an abundant number, since it is smaller than the sum of its proper divisors (226392712).

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

157991288 is a wasteful number, since it uses less digits than its factorization.

157991288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 168 counting only the distinct ones).

The product of its digits is 362880, while the sum is 50.

The square root of 157991288 is about 12569.4585404464. The cubic root of 157991288 is about 540.6020810804.

The spelling of 157991288 in words is "one hundred fifty-seven million, nine hundred ninety-one thousand, two hundred eighty-eight".

Divisors: 1 2 4 7 8 13 14 26 28 43 49 52 56 86 91 98 103 104 172 182 196 206 301 343 344 364 392 412 559 602 637 686 721 728 824 1118 1204 1274 1339 1372 1442 2107 2236 2408 2548 2678 2744 2884 3913 4214 4429 4459 4472 5047 5096 5356 5768 7826 8428 8858 8918 9373 10094 10712 14749 15652 16856 17716 17836 18746 20188 27391 29498 31003 31304 35329 35432 35672 37492 40376 54782 57577 58996 62006 65611 70658 74984 109564 115154 117992 124012 131222 141316 191737 217021 219128 230308 248024 262444 282632 383474 403039 434042 459277 460616 524888 766948 806078 868084 918554 1519147 1533896 1612156 1736168 1837108 2821273 3038294 3224312 3674216 5642546 6076588 11285092 12153176 19748911 22570184 39497822 78995644 157991288