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531252400 = 24527189733
BaseRepresentation
bin11111101010100…
…100010010110000
31101000122102021211
4133222210102300
52042000034100
6124414325504
716110366550
oct3752442260
91330572254
10531252400
11252972878
12129ab9894
13860a8143
14507ad160
153198d1ba
hex1faa44b0

531252400 has 60 divisors (see below), whose sum is σ = 1458674992. Its totient is φ = 182142720.

The previous prime is 531252389. The next prime is 531252409. The reversal of 531252400 is 4252135.

It is a super-2 number, since 2×5312524002 = 564458225011520000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (531252409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 92067 + ... + 97666.

Almost surely, 2531252400 is an apocalyptic number.

531252400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

531252400 is an abundant number, since it is smaller than the sum of its proper divisors (927422592).

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

531252400 is a wasteful number, since it uses less digits than its factorization.

531252400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189758 (or 189747 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 531252400 is about 23048.9132064833. The cubic root of 531252400 is about 809.9041699361.

The spelling of 531252400 in words is "five hundred thirty-one million, two hundred fifty-two thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 140 175 200 280 350 400 560 700 1400 2800 189733 379466 758932 948665 1328131 1517864 1897330 2656262 3035728 3794660 4743325 5312524 6640655 7589320 9486650 10625048 13281310 15178640 18973300 21250096 26562620 33203275 37946600 53125240 66406550 75893200 106250480 132813100 265626200 531252400