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531671364 = 223672612
BaseRepresentation
bin11111101100001…
…010100101000100
31101001102201000000
4133230022211010
52042101440424
6124431321300
716114063200
oct3754124504
91331381000
10531671364
11253129624
1212a080230
13861c3a53
145087bb00
1531a223c9
hex1fb0a944

531671364 has 189 divisors, whose sum is σ = 1649792781. Its totient is φ = 149415840.

The previous prime is 531671353. The next prime is 531671383. The reversal of 531671364 is 463176135.

The square root of 531671364 is 23058.

It is a perfect power (a square), and thus also a powerful number.

531671364 is a `hidden beast` number, since 531 + 67 + 1 + 3 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 17288964 + 514382400 = 4158^2 + 22680^2 .

It is a tau number, because it is divible by the number of its divisors (189).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 8715894 + ... + 8715954.

Almost surely, 2531671364 is an apocalyptic number.

531671364 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

531671364 is the 23058-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 531671364

531671364 is an abundant number, since it is smaller than the sum of its proper divisors (1118121417).

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

531671364 is an equidigital number, since it uses as much as digits as its factorization.

531671364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 73 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The cubic root of 531671364 is about 810.1170201304.

Multiplying 531671364 by its sum of digits (36), we get a square (19140169104 = 1383482).

531671364 divided by its sum of digits (36) gives a square (14768649 = 38432).

The spelling of 531671364 in words is "five hundred thirty-one million, six hundred seventy-one thousand, three hundred sixty-four".