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531878952 = 233118922637
BaseRepresentation
bin11111101100111…
…101010000101000
31101001211020202110
4133230331100220
52042130111302
6124440002320
716115616333
oct3754752050
91331736673
10531878952
11253260590
1212a1603a0
1386267397
14508d361a
1531a63b6c
hex1fb3d428

531878952 has 64 divisors (see below), whose sum is σ = 1466942400. Its totient is φ = 159357440.

The previous prime is 531878929. The next prime is 531878969. The reversal of 531878952 is 259878135.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12178 + ... + 34814.

It is an arithmetic number, because the mean of its divisors is an integer number (22920975).

Almost surely, 2531878952 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 531878952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733471200).

531878952 is an abundant number, since it is smaller than the sum of its proper divisors (935063448).

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

531878952 is a wasteful number, since it uses less digits than its factorization.

531878952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22746 (or 22742 counting only the distinct ones).

The product of its digits is 604800, while the sum is 48.

The square root of 531878952 is about 23062.5009918699. The cubic root of 531878952 is about 810.2224415750. Note that the first 3 decimals are identical.

The spelling of 531878952 in words is "five hundred thirty-one million, eight hundred seventy-eight thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 89 132 178 264 267 356 534 712 979 1068 1958 2136 2937 3916 5874 7832 11748 22637 23496 45274 67911 90548 135822 181096 249007 271644 498014 543288 747021 996028 1494042 1992056 2014693 2988084 4029386 5976168 6044079 8058772 12088158 16117544 22161623 24176316 44323246 48352632 66484869 88646492 132969738 177292984 265939476 531878952