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614485872 = 243373111329
BaseRepresentation
bin100100101000000…
…100111101110000
31120211021010011000
4210220010331300
52224302021442
6140550322000
721141021000
oct4450047560
91524233130
10614485872
11295952370
12151959300
139a3cb210
145b878000
1538e2ed4c
hex24a04f70

614485872 has 640 divisors, whose sum is σ = 2499840000. Its totient is φ = 142248960.

The previous prime is 614485831. The next prime is 614485889. The reversal of 614485872 is 278584416.

614485872 is a `hidden beast` number, since 61 + 4 + 4 + 8 + 587 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 21189154 + ... + 21189182.

It is an arithmetic number, because the mean of its divisors is an integer number (3906000).

Almost surely, 2614485872 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 614485872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1249920000).

614485872 is an abundant number, since it is smaller than the sum of its proper divisors (1885354128).

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

614485872 is a wasteful number, since it uses less digits than its factorization.

614485872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 65 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The square root of 614485872 is about 24788.8255470081. The cubic root of 614485872 is about 850.1664596715.

The spelling of 614485872 in words is "six hundred fourteen million, four hundred eighty-five thousand, eight hundred seventy-two".