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842276880 = 24355371171
BaseRepresentation
bin110010001101000…
…010000000010000
32011200220002200000
4302031002000100
53211110330010
6215324530000
726605143504
oct6215020020
92150802600
10842276880
113a24970a5
121b60b0900
13105665bb3
147dc12304
154de287c0
hex32342010

842276880 has 240 divisors, whose sum is σ = 3015265344. Its totient is φ = 218350080.

The previous prime is 842276857. The next prime is 842276881. The reversal of 842276880 is 88672248.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (842276881) 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, 718695 + ... + 719865.

Almost surely, 2842276880 is an apocalyptic number.

842276880 is a gapful number since it is divisible by the number (80) 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 842276880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1507632672).

842276880 is an abundant number, since it is smaller than the sum of its proper divisors (2172988464).

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

842276880 is a wasteful number, since it uses less digits than its factorization.

842276880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1236 (or 1218 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 842276880 is about 29022.0068224098. The cubic root of 842276880 is about 944.3905367257.

The spelling of 842276880 in words is "eight hundred forty-two million, two hundred seventy-six thousand, eight hundred eighty".