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613255104 = 26337112419
BaseRepresentation
bin100100100011011…
…000011111000000
31120201221120212000
4210203120133000
52223443130404
6140504104000
721124403520
oct4443303700
91521846760
10613255104
11295191700
12151465000
139a089c57
145b637680
1538c8a339
hex248d87c0

613255104 has 336 divisors, whose sum is σ = 2270150400. Its totient is φ = 158906880.

The previous prime is 613255079. The next prime is 613255109. The reversal of 613255104 is 401552316.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (613255109) 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, 1463407 + ... + 1463825.

It is an arithmetic number, because the mean of its divisors is an integer number (6756400).

Almost surely, 2613255104 is an apocalyptic number.

613255104 is a gapful number since it is divisible by the number (64) 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 613255104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1135075200).

613255104 is an abundant number, since it is smaller than the sum of its proper divisors (1656895296).

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

613255104 is a wasteful number, since it uses less digits than its factorization.

613255104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 613255104 is about 24763.9880471624. The cubic root of 613255104 is about 849.5984742543.

The spelling of 613255104 in words is "six hundred thirteen million, two hundred fifty-five thousand, one hundred four".