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164492442 = 232172103307
BaseRepresentation
bin10011100110111…
…11010010011010
3102110112002012200
421303133102122
5314102224232
624153351030
74035106542
oct1163372232
9373462180
10164492442
1184940674
1247108476
132810450a
1417bbc322
15e69377c
hex9cdf49a

164492442 has 72 divisors (see below), whose sum is σ = 383519136. Its totient is φ = 50937984.

The previous prime is 164492423. The next prime is 164492453. The reversal of 164492442 is 244294461.

It is a happy number.

164492442 is a `hidden beast` number, since 1 + 644 + 9 + 2 + 4 + 4 + 2 = 666.

Its product of digits (55296) is a multiple of the sum of its prime divisors (432).

It is a junction number, because it is equal to n+sod(n) for n = 164492397 and 164492406.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 535653 + ... + 535959.

Almost surely, 2164492442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164492442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191759568).

164492442 is an abundant number, since it is smaller than the sum of its proper divisors (219026694).

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

164492442 is a wasteful number, since it uses less digits than its factorization.

164492442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 432 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 164492442 is about 12825.4606934800. The cubic root of 164492442 is about 547.9176821492.

The spelling of 164492442 in words is "one hundred sixty-four million, four hundred ninety-two thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 17 18 34 51 102 103 153 206 289 306 307 309 578 614 618 867 921 927 1734 1751 1842 1854 2601 2763 3502 5202 5219 5253 5526 10438 10506 15657 15759 29767 31314 31518 31621 46971 59534 63242 88723 89301 93942 94863 177446 178602 189726 266169 267903 284589 532338 535806 537557 569178 798507 1075114 1597014 1612671 3225342 4838013 9138469 9676026 18276938 27415407 54830814 82246221 164492442