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531900096 = 26372134349
BaseRepresentation
bin11111101101000…
…010011011000000
31101001212022202120
4133231002123000
52042131300341
6124440244240
716116035100
oct3755023300
91331768676
10531900096
11253275462
1212a170680
1386273bb0
14508db200
1531a6a066
hex1fb426c0

531900096 has 168 divisors, whose sum is σ = 1763420400. Its totient is φ = 140249088.

The previous prime is 531900023. The next prime is 531900151. The reversal of 531900096 is 690009135.

It is a tau number, because it is divible by the number of its divisors (168).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 120130 + ... + 124478.

It is an arithmetic number, because the mean of its divisors is an integer number (10496550).

Almost surely, 2531900096 is an apocalyptic number.

531900096 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 531900096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (881710200).

531900096 is an abundant number, since it is smaller than the sum of its proper divisors (1231520304).

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

531900096 is a wasteful number, since it uses less digits than its factorization.

531900096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4391 (or 4374 counting only the distinct ones).

The product of its (nonzero) digits is 7290, while the sum is 33.

The square root of 531900096 is about 23062.9593937985. The cubic root of 531900096 is about 810.2331777999.

The spelling of 531900096 in words is "five hundred thirty-one million, nine hundred thousand, ninety-six".