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614137056 = 253131633019
BaseRepresentation
bin100100100110101…
…111110011100000
31120210121101122220
4210212233303200
52224204341211
6140535031040
721135036021
oct4446576340
91523541586
10614137056
11295734295
1215180b480
139a308510
145b7c6c48
1538db1806
hex249afce0

614137056 has 96 divisors (see below), whose sum is σ = 1747347840. Its totient is φ = 187743744.

The previous prime is 614136997. The next prime is 614137067. The reversal of 614137056 is 650731416.

614137056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 201915 + ... + 204933.

It is an arithmetic number, because the mean of its divisors is an integer number (18201540).

Almost surely, 2614137056 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 614137056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (873673920).

614137056 is an abundant number, since it is smaller than the sum of its proper divisors (1133210784).

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

614137056 is a wasteful number, since it uses less digits than its factorization.

614137056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3208 (or 3200 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 614137056 is about 24781.7887974214. The cubic root of 614137056 is about 850.0055621320.

The spelling of 614137056 in words is "six hundred fourteen million, one hundred thirty-seven thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 163 208 312 326 416 489 624 652 978 1248 1304 1956 2119 2608 3019 3912 4238 5216 6038 6357 7824 8476 9057 12076 12714 15648 16952 18114 24152 25428 33904 36228 39247 48304 50856 67808 72456 78494 96608 101712 117741 144912 156988 203424 235482 289824 313976 470964 492097 627952 941928 984194 1255904 1476291 1883856 1968388 2952582 3767712 3936776 5905164 6397261 7873552 11810328 12794522 15747104 19191783 23620656 25589044 38383566 47241312 51178088 76767132 102356176 153534264 204712352 307068528 614137056