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80352 = 253431
BaseRepresentation
bin10011100111100000
311002020000
4103213200
510032402
61420000
7453156
oct234740
9132200
1080352
1155408
123a600
132a75c
14213d6
1518c1c
hex139e0

80352 has 60 divisors (see below), whose sum is σ = 243936. Its totient is φ = 25920.

The previous prime is 80347. The next prime is 80363. The reversal of 80352 is 25308.

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

It is a d-powerful number, because it can be written as 8 + 0 + 37 + 57 + 25 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2577 + ... + 2607.

280352 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 80352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121968).

80352 is an abundant number, since it is smaller than the sum of its proper divisors (163584).

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

80352 is a wasteful number, since it uses less digits than its factorization.

80352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 80352 is about 283.4642834644. The cubic root of 80352 is about 43.1517980889.

The spelling of 80352 in words is "eighty thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 72 81 93 96 108 124 144 162 186 216 248 279 288 324 372 432 496 558 648 744 837 864 992 1116 1296 1488 1674 2232 2511 2592 2976 3348 4464 5022 6696 8928 10044 13392 20088 26784 40176 80352