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55930368 = 293132801
BaseRepresentation
bin1101010101011…
…0111000000000
310220020120001010
43111112320000
5103304232433
65314440520
71246254204
oct325267000
9126216033
1055930368
112963134a
1216893140
13b7837c0
1475dcb04
154d9be63
hex3556e00

55930368 has 80 divisors (see below), whose sum is σ = 160520976. Its totient is φ = 17203200.

The previous prime is 55930363. The next prime is 55930373. The reversal of 55930368 is 86303955.

It is an interprime number because it is at equal distance from previous prime (55930363) and next prime (55930373).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55930363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18568 + ... + 21368.

Almost surely, 255930368 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 55930368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80260488).

55930368 is an abundant number, since it is smaller than the sum of its proper divisors (104590608).

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

55930368 is a wasteful number, since it uses less digits than its factorization.

55930368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2835 (or 2819 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 39.

The square root of 55930368 is about 7478.6608426910. The cubic root of 55930368 is about 382.4275978985.

The spelling of 55930368 in words is "fifty-five million, nine hundred thirty thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 512 624 768 832 1248 1536 1664 2496 2801 3328 4992 5602 6656 8403 9984 11204 16806 19968 22408 33612 36413 44816 67224 72826 89632 109239 134448 145652 179264 218478 268896 291304 358528 436956 537792 582608 717056 873912 1075584 1165216 1434112 1747824 2151168 2330432 3495648 4302336 4660864 6991296 9321728 13982592 18643456 27965184 55930368