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88452 = 2235713
BaseRepresentation
bin10101100110000100
311111100000
4111212010
510312302
61521300
7515610
oct254604
9144300
1088452
1160501
1243230
1331350
1424340
151b31c
hex15984

88452 has 72 divisors (see below), whose sum is σ = 285376. Its totient is φ = 23328.

The previous prime is 88427. The next prime is 88463. The reversal of 88452 is 25488.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 3.

It is a zygodrome in base 3.

It is an unprimeable 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 23 ways as a sum of consecutive naturals, for example, 6798 + ... + 6810.

288452 is an apocalyptic number.

88452 is the 243-rd pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142688).

88452 is an abundant number, since it is smaller than the sum of its proper divisors (196924).

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

88452 is a wasteful number, since it uses less digits than its factorization.

88452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39 (or 25 counting only the distinct ones).

The product of its digits is 2560, while the sum is 27.

The square root of 88452 is about 297.4088095534. The cubic root of 88452 is about 44.5556262663. Note that the first 3 decimals are identical.

The spelling of 88452 in words is "eighty-eight thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 36 39 42 52 54 63 78 81 84 91 108 117 126 156 162 182 189 234 243 252 273 324 351 364 378 468 486 546 567 702 756 819 972 1053 1092 1134 1404 1638 1701 2106 2268 2457 3159 3276 3402 4212 4914 6318 6804 7371 9828 12636 14742 22113 29484 44226 88452