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613426000 = 24531127883
BaseRepresentation
bin100100100100000…
…010001101010000
31120202021021021111
4210210002031100
52224014113000
6140511503104
721126014665
oct4444021520
91522237244
10613426000
11295299040
12151527a94
139a119985
145b67da6c
1538cc0cba
hex24902350

613426000 has 80 divisors (see below), whose sum is σ = 1618164288. Its totient is φ = 223056000.

The previous prime is 613425991. The next prime is 613426007. The reversal of 613426000 is 624316.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (613426007) 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, 8059 + ... + 35941.

Almost surely, 2613426000 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 613426000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (809082144).

613426000 is an abundant number, since it is smaller than the sum of its proper divisors (1004738288).

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

613426000 is a wasteful number, since it uses less digits than its factorization.

613426000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27917 (or 27901 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 613426000 is about 24767.4383011243. The cubic root of 613426000 is about 849.6773862194.

The spelling of 613426000 in words is "six hundred thirteen million, four hundred twenty-six thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 880 1000 1100 1375 2000 2200 2750 4400 5500 11000 22000 27883 55766 111532 139415 223064 278830 306713 446128 557660 613426 697075 1115320 1226852 1394150 1533565 2230640 2453704 2788300 3067130 3485375 4907408 5576600 6134260 6970750 7667825 11153200 12268520 13941500 15335650 24537040 27883000 30671300 38339125 55766000 61342600 76678250 122685200 153356500 306713000 613426000