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157643442 = 23311416473
BaseRepresentation
bin10010110010101…
…11001010110010
3101222122010011000
421121113022302
5310324042232
623350502430
73622642605
oct1131271262
9358563130
10157643442
1180a92940
1244964a16
1326876c58
1416d1833c
15dc8e27c
hex96572b2

157643442 has 64 divisors (see below), whose sum is σ = 391547520. Its totient is φ = 46598400.

The previous prime is 157643419. The next prime is 157643467. The reversal of 157643442 is 244346751.

157643442 is a `hidden beast` number, since 1 + 5 + 7 + 643 + 4 + 4 + 2 = 666.

157643442 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 157643397 and 157643406.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21118 + ... + 27590.

It is an arithmetic number, because the mean of its divisors is an integer number (6117930).

Almost surely, 2157643442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157643442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195773760).

157643442 is an abundant number, since it is smaller than the sum of its proper divisors (233904078).

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

157643442 is a wasteful number, since it uses less digits than its factorization.

157643442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6536 (or 6530 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 157643442 is about 12555.6139634826. The cubic root of 157643442 is about 540.2050455882.

The spelling of 157643442 in words is "one hundred fifty-seven million, six hundred forty-three thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 41 54 66 82 99 123 198 246 297 369 451 594 738 902 1107 1353 2214 2706 4059 6473 8118 12177 12946 19419 24354 38838 58257 71203 116514 142406 174771 213609 265393 349542 427218 530786 640827 796179 1281654 1592358 1922481 2388537 2919323 3844962 4777074 5838646 7165611 8757969 14331222 17515938 26273907 52547814 78821721 157643442