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55082368 = 2711192971
BaseRepresentation
bin1101001000011…
…1110110000000
310211122110210201
43102013312000
5103100113433
65244334544
71236122665
oct322076600
9124573721
1055082368
1129102220
1216544454
13b547823
14745ba6c
154c80a7d
hex3487d80

55082368 has 128 divisors (see below), whose sum is σ = 132192000. Its totient is φ = 22579200.

The previous prime is 55082347. The next prime is 55082371. The reversal of 55082368 is 86328055.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 775773 + ... + 775843.

It is an arithmetic number, because the mean of its divisors is an integer number (1032750).

Almost surely, 255082368 is an apocalyptic number.

55082368 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55082368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66096000).

55082368 is an abundant number, since it is smaller than the sum of its proper divisors (77109632).

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

55082368 is a wasteful number, since it uses less digits than its factorization.

55082368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 37.

The square root of 55082368 is about 7421.7496589416. The cubic root of 55082368 is about 380.4849947719.

The spelling of 55082368 in words is "fifty-five million, eighty-two thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 11 16 19 22 29 32 38 44 58 64 71 76 88 116 128 142 152 176 209 232 284 304 319 352 418 464 551 568 608 638 704 781 836 928 1102 1136 1216 1276 1349 1408 1562 1672 1856 2059 2204 2272 2432 2552 2698 3124 3344 3712 4118 4408 4544 5104 5396 6061 6248 6688 8236 8816 9088 10208 10792 12122 12496 13376 14839 16472 17632 20416 21584 22649 24244 24992 26752 29678 32944 35264 39121 40832 43168 45298 48488 49984 59356 65888 70528 78242 86336 90596 96976 99968 118712 131776 156484 172672 181192 193952 237424 263552 312968 362384 387904 430331 474848 625936 724768 775808 860662 949696 1251872 1449536 1721324 1899392 2503744 2899072 3442648 5007488 6885296 13770592 27541184 55082368