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157148082 = 232713197487
BaseRepresentation
bin10010101110111…
…10001110110010
3101221200221122100
421113132032302
5310212214312
623332121230
73615510450
oct1127361662
9357627570
10157148082
1180784753
1244766216
1326732640
1416c299d0
15dbe25dc
hex95de3b2

157148082 has 96 divisors (see below), whose sum is σ = 422053632. Its totient is φ = 41150592.

The previous prime is 157148059. The next prime is 157148141. The reversal of 157148082 is 280841751.

157148082 is a `hidden beast` number, since 1 + 571 + 4 + 8 + 0 + 82 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 322443 + ... + 322929.

It is an arithmetic number, because the mean of its divisors is an integer number (4396392).

Almost surely, 2157148082 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157148082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211026816).

157148082 is an abundant number, since it is smaller than the sum of its proper divisors (264905550).

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

157148082 is a wasteful number, since it uses less digits than its factorization.

157148082 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 712 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The square root of 157148082 is about 12535.8718085341. The cubic root of 157148082 is about 539.6386265319.

The spelling of 157148082 in words is "one hundred fifty-seven million, one hundred forty-eight thousand, eighty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 91 117 126 182 197 234 273 394 487 546 591 819 974 1182 1379 1461 1638 1773 2561 2758 2922 3409 3546 4137 4383 5122 6331 6818 7683 8274 8766 10227 12411 12662 15366 17927 18993 20454 23049 24822 30681 35854 37986 44317 46098 53781 56979 61362 88634 95939 107562 113958 132951 161343 191878 265902 287817 322686 398853 575634 671573 797706 863451 1247207 1343146 1726902 2014719 2494414 3741621 4029438 6044157 7483242 8730449 11224863 12088314 17460898 22449726 26191347 52382694 78574041 157148082