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495500544 = 2833731119
BaseRepresentation
bin11101100010001…
…011110100000000
31021112101000222000
4131202023310000
52003322004134
6121100144000
715164454000
oct3542136400
91245330860
10495500544
11234773990
12119b38000
137b86b0b6
1449b44000
152d779e99
hex1d88bd00

495500544 has 576 divisors, whose sum is σ = 1962240000. Its totient is φ = 121927680.

The previous prime is 495500531. The next prime is 495500573. The reversal of 495500544 is 445005594.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a junction number, because it is equal to n+sod(n) for n = 495500499 and 495500508.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26078967 + ... + 26078985.

Almost surely, 2495500544 is an apocalyptic number.

495500544 is a gapful number since it is divisible by the number (44) 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 495500544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (981120000).

495500544 is an abundant number, since it is smaller than the sum of its proper divisors (1466739456).

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

495500544 is a wasteful number, since it uses less digits than its factorization.

495500544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 495500544 is about 22259.8415088697. The cubic root of 495500544 is about 791.3125347579.

The spelling of 495500544 in words is "four hundred ninety-five million, five hundred thousand, five hundred forty-four".