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613426440 = 233511283509
BaseRepresentation
bin100100100100000…
…010010100001000
31120202021021212210
4210210002110020
52224014121230
6140511505120
721126016164
oct4444022410
91522237783
10613426440
11295299400
121515281a0
139a119c33
145b67dca4
1538cc0eb0
hex24902508

613426440 has 192 divisors, whose sum is σ = 2051179200. Its totient is φ = 146629120.

The previous prime is 613426417. The next prime is 613426483. The reversal of 613426440 is 44624316.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 613426398 and 613426407.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1204906 + ... + 1205414.

It is an arithmetic number, because the mean of its divisors is an integer number (10683225).

Almost surely, 2613426440 is an apocalyptic number.

613426440 is a gapful number since it is divisible by the number (60) 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 613426440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1025589600).

613426440 is an abundant number, since it is smaller than the sum of its proper divisors (1437752760).

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

613426440 is a wasteful number, since it uses less digits than its factorization.

613426440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 613426440 is about 24767.4471837531. The cubic root of 613426440 is about 849.6775893723.

The spelling of 613426440 in words is "six hundred thirteen million, four hundred twenty-six thousand, four hundred forty".