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613337142 = 231121575381
BaseRepresentation
bin100100100011101…
…100100000110110
31120202002202101110
4210203230200312
52224003242032
6140505535450
721125164635
oct4443544066
91522082343
10613337142
11295238300
121514a4586
139a0b83b2
145b65951c
1538ca47cc
hex248ec836

613337142 has 48 divisors (see below), whose sum is σ = 1357168176. Its totient is φ = 184641600.

The previous prime is 613337129. The next prime is 613337173. The reversal of 613337142 is 241733316.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 111292 + ... + 116672.

It is an arithmetic number, because the mean of its divisors is an integer number (28274337).

Almost surely, 2613337142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 613337142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678584088).

613337142 is an abundant number, since it is smaller than the sum of its proper divisors (743831034).

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

613337142 is a wasteful number, since it uses less digits than its factorization.

613337142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5565 (or 5554 counting only the distinct ones).

The product of its digits is 9072, while the sum is 30.

The square root of 613337142 is about 24765.6443889514. The cubic root of 613337142 is about 849.6363574840.

The spelling of 613337142 in words is "six hundred thirteen million, three hundred thirty-seven thousand, one hundred forty-two".

Divisors: 1 2 3 6 11 22 33 66 121 157 242 314 363 471 726 942 1727 3454 5181 5381 10362 10762 16143 18997 32286 37994 56991 59191 113982 118382 177573 355146 651101 844817 1302202 1689634 1953303 2534451 3906606 5068902 9292987 18585974 27878961 55757922 102222857 204445714 306668571 613337142