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613228644 = 223471272129
BaseRepresentation
bin100100100011010…
…010000001100100
31120201220020120000
4210203102001210
52223441304034
6140503341300
721124233420
oct4443220144
91521806500
10613228644
11295173836
12151451830
139a07abb2
145b62bb80
1538c82599
hex248d2064

613228644 has 120 divisors (see below), whose sum is σ = 1847408640. Its totient is φ = 173746944.

The previous prime is 613228621. The next prime is 613228673. The reversal of 613228644 is 446822316.

613228644 is a `hidden beast` number, since 6 + 1 + 3 + 2 + 2 + 8 + 644 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 613228599 and 613228608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 286972 + ... + 289100.

It is an arithmetic number, because the mean of its divisors is an integer number (15395072).

Almost surely, 2613228644 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 613228644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (923704320).

613228644 is an abundant number, since it is smaller than the sum of its proper divisors (1234179996).

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

613228644 is a wasteful number, since it uses less digits than its factorization.

613228644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2279 (or 2268 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 613228644 is about 24763.4537978853. The cubic root of 613228644 is about 849.5862549246.

The spelling of 613228644 in words is "six hundred thirteen million, two hundred twenty-eight thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 127 162 189 252 254 324 378 381 508 567 756 762 889 1134 1143 1524 1778 2129 2268 2286 2667 3429 3556 4258 4572 5334 6387 6858 8001 8516 10287 10668 12774 13716 14903 16002 19161 20574 24003 25548 29806 32004 38322 41148 44709 48006 57483 59612 72009 76644 89418 96012 114966 134127 144018 172449 178836 229932 268254 270383 288036 344898 402381 536508 540766 689796 804762 811149 1081532 1207143 1609524 1622298 1892681 2414286 2433447 3244596 3785362 4828572 4866894 5678043 7300341 7570724 9733788 11356086 14600682 17034129 21901023 22712172 29201364 34068258 43802046 51102387 68136516 87604092 102204774 153307161 204409548 306614322 613228644