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55840968 = 2333419617
BaseRepresentation
bin1101010100000…
…1000011001000
310220002000102000
43111001003020
5103243402333
65312511000
71245432441
oct325010310
9126060360
1055840968
1129580167
121684b460
13b751bc1
1475b82c8
154d80713
hex35410c8

55840968 has 64 divisors (see below), whose sum is σ = 155736000. Its totient is φ = 18539136.

The previous prime is 55840933. The next prime is 55840969. The reversal of 55840968 is 86904855.

55840968 is a `hidden beast` number, since 5 + 584 + 0 + 9 + 68 = 666.

It is not an unprimeable number, because it can be changed into a prime (55840969) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90196 + ... + 90812.

It is an arithmetic number, because the mean of its divisors is an integer number (2433375).

Almost surely, 255840968 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 55840968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77868000).

55840968 is an abundant number, since it is smaller than the sum of its proper divisors (99895032).

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

55840968 is a wasteful number, since it uses less digits than its factorization.

55840968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1051 (or 1041 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 55840968 is about 7472.6814464421. The cubic root of 55840968 is about 382.2237297629.

The spelling of 55840968 in words is "fifty-five million, eight hundred forty thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 419 617 838 1234 1257 1676 1851 2468 2514 3352 3702 3771 4936 5028 5553 7404 7542 10056 11106 11313 14808 15084 16659 22212 22626 30168 33318 44424 45252 66636 90504 133272 258523 517046 775569 1034092 1551138 2068184 2326707 3102276 4653414 6204552 6980121 9306828 13960242 18613656 27920484 55840968