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17157942 = 2323197317
BaseRepresentation
bin100000101110…
…0111100110110
31012021201021100
41001130330312
513343023232
61411430530
7265561104
oct101347466
935251240
1017157942
11975a01a
1258b5446
133729939
1423c8c74
15178dc7c
hex105cf36

17157942 has 48 divisors (see below), whose sum is σ = 38892672. Its totient is φ = 5460480.

The previous prime is 17157941. The next prime is 17157953. The reversal of 17157942 is 24975171.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 17157897 and 17157906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (17157941) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 53968 + ... + 54284.

It is an arithmetic number, because the mean of its divisors is an integer number (810264).

Almost surely, 217157942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 17157942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19446336).

17157942 is an abundant number, since it is smaller than the sum of its proper divisors (21734730).

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

17157942 is a wasteful number, since it uses less digits than its factorization.

17157942 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 450 counting only the distinct ones).

The product of its digits is 17640, while the sum is 36.

The square root of 17157942 is about 4142.2146250526. The cubic root of 17157942 is about 257.9220063509.

The spelling of 17157942 in words is "seventeen million, one hundred fifty-seven thousand, nine hundred forty-two".

Divisors: 1 2 3 6 9 18 31 62 93 97 186 194 279 291 317 558 582 634 873 951 1746 1902 2853 3007 5706 6014 9021 9827 18042 19654 27063 29481 30749 54126 58962 61498 88443 92247 176886 184494 276741 553482 953219 1906438 2859657 5719314 8578971 17157942