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980431872 = 21037127359
BaseRepresentation
bin111010011100000…
…011010000000000
32112022212002200120
4322130003100000
54001442304442
6241142020240
733203350650
oct7234032000
92468762616
10980431872
11463478a82
12234417680
13128178504
14942d6360
155b1184ec
hex3a703400

980431872 has 176 divisors, whose sum is σ = 3018424320. Its totient is φ = 277143552.

The previous prime is 980431861. The next prime is 980431877. The reversal of 980431872 is 278134089.

It is a super-2 number, since 2×9804318722 = 1922493311266848768, which contains 22 as substring.

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 (980431877) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2730829 + ... + 2731187.

Almost surely, 2980431872 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 980431872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1509212160).

980431872 is an abundant number, since it is smaller than the sum of its proper divisors (2037992448).

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

980431872 is a wasteful number, since it uses less digits than its factorization.

980431872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 980431872 is about 31311.8487477185. The cubic root of 980431872 is about 993.4342762854.

The spelling of 980431872 in words is "nine hundred eighty million, four hundred thirty-one thousand, eight hundred seventy-two".