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158472 = 23323171
BaseRepresentation
bin100110101100001000
322001101100
4212230020
520032342
63221400
71230006
oct465410
9261340
10158472
11a9076
1277860
1357192
1441a76
1531e4c
hex26b08

158472 has 48 divisors (see below), whose sum is σ = 449280. Its totient is φ = 50400.

The previous prime is 158449. The next prime is 158489. The reversal of 158472 is 274851.

It is a super-2 number, since 2×1584722 = 50226749568, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

158472 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2197 + ... + 2267.

It is an arithmetic number, because the mean of its divisors is an integer number (9360).

2158472 is an apocalyptic number.

158472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 158472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224640).

158472 is an abundant number, since it is smaller than the sum of its proper divisors (290808).

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

158472 is a wasteful number, since it uses less digits than its factorization.

158472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 107 counting only the distinct ones).

The product of its digits is 2240, while the sum is 27.

The square root of 158472 is about 398.0854179696. The cubic root of 158472 is about 54.1149813358.

It can be divided in two parts, 158 and 472, that added together give a triangular number (630 = T35).

The spelling of 158472 in words is "one hundred fifty-eight thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 71 72 93 124 142 186 213 248 279 284 372 426 558 568 639 744 852 1116 1278 1704 2201 2232 2556 4402 5112 6603 8804 13206 17608 19809 26412 39618 52824 79236 158472