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655083968 = 26711307433
BaseRepresentation
bin100111000010111…
…100100111000000
31200122122201021012
4213002330213000
52320200141333
6145000420052
722143056540
oct4702744700
91618581235
10655083968
11306861310
12163477628
13a5944066
1463005320
153c79de48
hex270bc9c0

655083968 has 112 divisors (see below), whose sum is σ = 1629729024. Its totient is φ = 253808640.

The previous prime is 655083959. The next prime is 655083977. The reversal of 655083968 is 869380556.

It is an interprime number because it is at equal distance from previous prime (655083959) and next prime (655083977).

It is a tau number, because it is divible by the number of its divisors (112).

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 15 ways as a sum of consecutive naturals, for example, 1512680 + ... + 1513112.

It is an arithmetic number, because the mean of its divisors is an integer number (14551152).

Almost surely, 2655083968 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 655083968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (814864512).

655083968 is an abundant number, since it is smaller than the sum of its proper divisors (974645056).

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

655083968 is a wasteful number, since it uses less digits than its factorization.

655083968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 50.

The square root of 655083968 is about 25594.6081821934. The cubic root of 655083968 is about 868.4916693183.

The spelling of 655083968 in words is "six hundred fifty-five million, eighty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 154 176 224 307 308 352 433 448 614 616 704 866 1228 1232 1732 2149 2456 2464 3031 3377 3464 4298 4763 4912 4928 6062 6754 6928 8596 9526 9824 12124 13508 13856 17192 19052 19648 23639 24248 27016 27712 33341 34384 38104 47278 48496 54032 66682 68768 76208 94556 96992 108064 132931 133364 137536 152416 189112 193984 216128 265862 266728 304832 378224 531724 533456 756448 930517 1063448 1066912 1462241 1512896 1861034 2126896 2133824 2924482 3722068 4253792 5848964 7444136 8507584 10235687 11697928 14888272 20471374 23395856 29776544 40942748 46791712 59553088 81885496 93583424 163770992 327541984 655083968