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427931616 = 25371747797
BaseRepresentation
bin11001100000011…
…011011111100000
31002211020011211010
4121200123133200
51334022302431
6110244020520
713414234020
oct3140333740
91084204733
10427931616
111aa6133a2
12bb391740
136a870c98
1440b95a80
152787e846
hex1981b7e0

427931616 has 192 divisors, whose sum is σ = 1389975552. Its totient is φ = 112484352.

The previous prime is 427931611. The next prime is 427931671. The reversal of 427931616 is 616139724.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427931611) 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, 536530 + ... + 537326.

It is an arithmetic number, because the mean of its divisors is an integer number (7239456).

Almost surely, 2427931616 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 427931616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694987776).

427931616 is an abundant number, since it is smaller than the sum of its proper divisors (962043936).

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

427931616 is a wasteful number, since it uses less digits than its factorization.

427931616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 881 (or 873 counting only the distinct ones).

The product of its digits is 54432, while the sum is 39.

The square root of 427931616 is about 20686.5080668536. The cubic root of 427931616 is about 753.5720658954.

The spelling of 427931616 in words is "four hundred twenty-seven million, nine hundred thirty-one thousand, six hundred sixteen".