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96552 = 2334149
BaseRepresentation
bin10111100100101000
311220110000
4113210220
511042202
62023000
7551331
oct274450
9156400
1096552
11665a5
1247a60
1334c41
1427288
151d91c
hex17928

96552 has 40 divisors (see below), whose sum is σ = 272250. Its totient is φ = 31968.

The previous prime is 96527. The next prime is 96553. The reversal of 96552 is 25569.

96552 is a `hidden beast` number, since 9 + 655 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 93636 + 2916 = 306^2 + 54^2 .

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

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (96553) by changing a digit.

96552 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 9 ways as a sum of consecutive naturals, for example, 574 + ... + 722.

296552 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 96552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136125).

96552 is an abundant number, since it is smaller than the sum of its proper divisors (175698).

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

96552 is a wasteful number, since it uses less digits than its factorization.

96552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 154 counting only the distinct ones).

The product of its digits is 2700, while the sum is 27.

The square root of 96552 is about 310.7281770294. The cubic root of 96552 is about 45.8761634533.

It can be divided in two parts, 9 and 6552, that added together give a 8-th power (6561 = 38).

The spelling of 96552 in words is "ninety-six thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 149 162 216 298 324 447 596 648 894 1192 1341 1788 2682 3576 4023 5364 8046 10728 12069 16092 24138 32184 48276 96552