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552864 = 25313443
BaseRepresentation
bin10000110111110100000
31001002101110
42012332200
5120142424
615503320
74461564
oct2067640
91032343
10552864
11348414
12227b40
13164850
141056a4
15adc29
hex86fa0

552864 has 48 divisors (see below), whose sum is σ = 1566432. Its totient is φ = 169728.

The previous prime is 552859. The next prime is 552883. The reversal of 552864 is 468255.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1027 + ... + 1469.

It is an arithmetic number, because the mean of its divisors is an integer number (32634).

2552864 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 552864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783216).

552864 is an abundant number, since it is smaller than the sum of its proper divisors (1013568).

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

552864 is a wasteful number, since it uses less digits than its factorization.

552864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 461 counting only the distinct ones).

The product of its digits is 9600, while the sum is 30.

The square root of 552864 is about 743.5482499475. The cubic root of 552864 is about 82.0740952324.

Multiplying 552864 by its sum of digits (30), we get a triangular number (16585920 = T5759).

The spelling of 552864 in words is "five hundred fifty-two thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 443 624 886 1248 1329 1772 2658 3544 5316 5759 7088 10632 11518 14176 17277 21264 23036 34554 42528 46072 69108 92144 138216 184288 276432 552864