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495720576 = 27321379419
BaseRepresentation
bin11101100011000…
…001100010000000
31021112210012210100
4131203001202000
52003401024301
6121105002400
715166361331
oct3543014200
91245705710
10495720576
1123490422a
1211a023400
137b9172b0
1449ba0288
152d7c0286
hex1d8c1880

495720576 has 192 divisors, whose sum is σ = 1559376000. Its totient is φ = 150239232.

The previous prime is 495720553. The next prime is 495720581. The reversal of 495720576 is 675027594.

495720576 is a `hidden beast` number, since 4 + 9 + 5 + 72 + 0 + 576 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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, 1182895 + ... + 1183313.

It is an arithmetic number, because the mean of its divisors is an integer number (8121750).

Almost surely, 2495720576 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 495720576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779688000).

495720576 is an abundant number, since it is smaller than the sum of its proper divisors (1063655424).

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

495720576 is a wasteful number, since it uses less digits than its factorization.

495720576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The square root of 495720576 is about 22264.7833135649. The cubic root of 495720576 is about 791.4296475211.

The spelling of 495720576 in words is "four hundred ninety-five million, seven hundred twenty thousand, five hundred seventy-six".