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157542 = 23711231
BaseRepresentation
bin100110011101100110
322000002220
4212131212
520020132
63213210
71224210
oct463546
9260086
10157542
11a8400
1277206
1356928
14415b0
1531a2c
hex26766

157542 has 48 divisors (see below), whose sum is σ = 408576. Its totient is φ = 39600.

The previous prime is 157523. The next prime is 157543. The reversal of 157542 is 245751.

157542 is nontrivially palindromic in base 4.

It is a nialpdrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157543) by changing a digit.

157542 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5067 + ... + 5097.

It is an arithmetic number, because the mean of its divisors is an integer number (8512).

2157542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204288).

157542 is an abundant number, since it is smaller than the sum of its proper divisors (251034).

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

157542 is a wasteful number, since it uses less digits than its factorization.

157542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 54 counting only the distinct ones).

The product of its digits is 1400, while the sum is 24.

The square root of 157542 is about 396.9156081587. The cubic root of 157542 is about 54.0089148519.

Subtracting 157542 from its reverse (245751), we obtain a square (88209 = 2972).

It can be divided in two parts, 15 and 7542, that added together give a palindrome (7557).

The spelling of 157542 in words is "one hundred fifty-seven thousand, five hundred forty-two".

Divisors: 1 2 3 6 7 11 14 21 22 31 33 42 62 66 77 93 121 154 186 217 231 242 341 363 434 462 651 682 726 847 1023 1302 1694 2046 2387 2541 3751 4774 5082 7161 7502 11253 14322 22506 26257 52514 78771 157542