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496503072 = 25321321012
BaseRepresentation
bin11101100110000…
…000100100100000
31021121020222011200
4131212000210200
52004101044242
6121133441200
715206130552
oct3546004440
91247228150
10496503072
1123529911a
1211a340200
137bb2c500
1449d254d2
152d8c704c
hex1d980920

496503072 has 162 divisors, whose sum is σ = 1544182731. Its totient is φ = 151257600.

The previous prime is 496503067. The next prime is 496503083. The reversal of 496503072 is 270305694.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 342842256 + 153660816 = 18516^2 + 12396^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=15756.

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

It is an alternating number because its digits alternate between even and odd.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4915822 + ... + 4915922.

Almost surely, 2496503072 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 496503072

496503072 is an abundant number, since it is smaller than the sum of its proper divisors (1047679659).

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

496503072 is a wasteful number, since it uses less digits than its factorization.

496503072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 119 counting only the distinct ones).

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

The square root of 496503072 is about 22282.3488887505. The cubic root of 496503072 is about 791.8458530735.

The spelling of 496503072 in words is "four hundred ninety-six million, five hundred three thousand, seventy-two".