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495704832 = 28371923211
BaseRepresentation
bin11101100010111…
…101101100000000
31021112202102012020
4131202331230000
52003400023312
6121104401440
715166264410
oct3542755400
91245672166
10495704832
112348a3417
1211a016280
137b91008c
1449b98640
152d7ba78c
hex1d8bdb00

495704832 has 288 divisors, whose sum is σ = 1663979520. Its totient is φ = 127733760.

The previous prime is 495704791. The next prime is 495704837. The reversal of 495704832 is 238407594.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (495704837) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2349207 + ... + 2349417.

Almost surely, 2495704832 is an apocalyptic number.

495704832 is a gapful number since it is divisible by the number (42) 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 495704832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (831989760).

495704832 is an abundant number, since it is smaller than the sum of its proper divisors (1168274688).

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

495704832 is a wasteful number, since it uses less digits than its factorization.

495704832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The square root of 495704832 is about 22264.4297479185. The cubic root of 495704832 is about 791.4212688761.

The spelling of 495704832 in words is "four hundred ninety-five million, seven hundred four thousand, eight hundred thirty-two".