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872295424 = 210711132337
BaseRepresentation
bin110011111111100…
…010110000000000
32020210101012100221
4303333202300000
53241301423144
6222320152424
730421250230
oct6377426000
92223335327
10872295424
1140842a510
12204168714
1310b946450
1483bc7cc0
15518a7d84
hex33fe2c00

872295424 has 352 divisors, whose sum is σ = 2509065216. Its totient is φ = 291962880.

The previous prime is 872295383. The next prime is 872295427. The reversal of 872295424 is 424592278.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (352).

It is not an unprimeable number, because it can be changed into a prime (872295427) 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, 23575534 + ... + 23575570.

Almost surely, 2872295424 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 872295424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1254532608).

872295424 is an abundant number, since it is smaller than the sum of its proper divisors (1636769792).

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

872295424 is a wasteful number, since it uses less digits than its factorization.

872295424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 93 counting only the distinct ones).

The product of its digits is 322560, while the sum is 43.

The square root of 872295424 is about 29534.6478563737. The cubic root of 872295424 is about 955.4791137777.

The spelling of 872295424 in words is "eight hundred seventy-two million, two hundred ninety-five thousand, four hundred twenty-four".