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617245068 = 2231113933641
BaseRepresentation
bin100100110010100…
…110100110001100
31121000110022001110
4210302212212030
52231003320233
6141125412020
721203332206
oct4462464614
91530408043
10617245068
112974673a0
1215286a010
139ab5608b
145bd95776
15392c7663
hex24ca698c

617245068 has 48 divisors (see below), whose sum is σ = 1582519680. Its totient is φ = 185692800.

The previous prime is 617245067. The next prime is 617245081. The reversal of 617245068 is 860542716.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (617245067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1528 + ... + 35168.

It is an arithmetic number, because the mean of its divisors is an integer number (32969160).

Almost surely, 2617245068 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 617245068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (791259840).

617245068 is an abundant number, since it is smaller than the sum of its proper divisors (965274612).

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

617245068 is a wasteful number, since it uses less digits than its factorization.

617245068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33798 (or 33796 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 617245068 is about 24844.4172400964. The cubic root of 617245068 is about 851.4370468365.

The spelling of 617245068 in words is "six hundred seventeen million, two hundred forty-five thousand, sixty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 139 278 417 556 834 1529 1668 3058 4587 6116 9174 18348 33641 67282 100923 134564 201846 370051 403692 740102 1110153 1480204 2220306 4440612 4676099 9352198 14028297 18704396 28056594 51437089 56113188 102874178 154311267 205748356 308622534 617245068