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531056328 = 233117925463
BaseRepresentation
bin11111101001110…
…100011011001000
31101000021110022220
4133221310123020
52041422300303
6124410214040
716105622115
oct3751643310
91330243286
10531056328
11252849530
12129a24320
1386039b1a
145075b90c
1531950053
hex1fa746c8

531056328 has 64 divisors (see below), whose sum is σ = 1466726400. Its totient is φ = 158882880.

The previous prime is 531056299. The next prime is 531056329. The reversal of 531056328 is 823650135.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (531056329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8125 + ... + 33587.

It is an arithmetic number, because the mean of its divisors is an integer number (22917600).

Almost surely, 2531056328 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 531056328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733363200).

531056328 is an abundant number, since it is smaller than the sum of its proper divisors (935670072).

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

531056328 is a wasteful number, since it uses less digits than its factorization.

531056328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25562 (or 25558 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 531056328 is about 23044.6594246910. The cubic root of 531056328 is about 809.8045192046.

The spelling of 531056328 in words is "five hundred thirty-one million, fifty-six thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 79 88 132 158 237 264 316 474 632 869 948 1738 1896 2607 3476 5214 6952 10428 20856 25463 50926 76389 101852 152778 203704 280093 305556 560186 611112 840279 1120372 1680558 2011577 2240744 3361116 4023154 6034731 6722232 8046308 12069462 16092616 22127347 24138924 44254694 48277848 66382041 88509388 132764082 177018776 265528164 531056328