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52632 = 23321743
BaseRepresentation
bin1100110110011000
32200012100
430312120
53141012
61043400
7306306
oct146630
980170
1052632
11365a8
1226560
131ac58
1415276
15108dc
hexcd98

52632 has 48 divisors (see below), whose sum is σ = 154440. Its totient is φ = 16128.

The previous prime is 52631. The next prime is 52639. The reversal of 52632 is 23625.

52632 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

Its product of digits (360) is a multiple of the sum of its prime factors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52631) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1203 + ... + 1245.

252632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77220).

52632 is an abundant number, since it is smaller than the sum of its proper divisors (101808).

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

52632 is a wasteful number, since it uses less digits than its factorization.

52632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 65 counting only the distinct ones).

The product of its digits is 360, while the sum is 18.

The square root of 52632 is about 229.4166515317. The cubic root of 52632 is about 37.4757176131.

Adding to 52632 its sum of digits (18), we get a triangular number (52650 = T324).

Multiplying 52632 by its sum of digits (18), we get a triangular number (947376 = T1376).

The spelling of 52632 in words is "fifty-two thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 43 51 68 72 86 102 129 136 153 172 204 258 306 344 387 408 516 612 731 774 1032 1224 1462 1548 2193 2924 3096 4386 5848 6579 8772 13158 17544 26316 52632