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502295040 = 2933513243
BaseRepresentation
bin11101111100000…
…110101000000000
31022000011020021000
4131330012220000
52012041420130
6121501532000
715306303012
oct3574065000
91260136230
10502295040
11238594775
12120274000
13800a9900
144a9d21b2
152e16d260
hex1df06a00

502295040 has 480 divisors, whose sum is σ = 1976927040. Its totient is φ = 120766464.

The previous prime is 502295009. The next prime is 502295041. The reversal of 502295040 is 40592205.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 502294995 and 502295013.

It is not an unprimeable number, because it can be changed into a prime (502295041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11681259 + ... + 11681301.

It is an arithmetic number, because the mean of its divisors is an integer number (4118598).

Almost surely, 2502295040 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 502295040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (988463520).

502295040 is an abundant number, since it is smaller than the sum of its proper divisors (1474632000).

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

502295040 is a wasteful number, since it uses less digits than its factorization.

502295040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 502295040 is about 22411.9396750928. The cubic root of 502295040 is about 794.9130556395.

The spelling of 502295040 in words is "five hundred two million, two hundred ninety-five thousand, forty".