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55833408 = 263379409
BaseRepresentation
bin1101010011111…
…1001101000000
310220001122001000
43110333031000
5103243132113
65312412000
71245401421
oct324771500
9126048030
1055833408
1129575514
1216847000
13b74b627
1475b5648
154d7d373
hex353f340

55833408 has 112 divisors (see below), whose sum is σ = 166624000. Its totient is φ = 18330624.

The previous prime is 55833403. The next prime is 55833409. The reversal of 55833408 is 80433855.

55833408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55833403) by changing a digit.

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, 136308 + ... + 136716.

Almost surely, 255833408 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 55833408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83312000).

55833408 is an abundant number, since it is smaller than the sum of its proper divisors (110790592).

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

55833408 is a wasteful number, since it uses less digits than its factorization.

55833408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 55833408 is about 7472.1755868020. The cubic root of 55833408 is about 382.2064799317.

The spelling of 55833408 in words is "fifty-five million, eight hundred thirty-three thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 79 96 108 144 158 192 216 237 288 316 409 432 474 576 632 711 818 864 948 1227 1264 1422 1636 1728 1896 2133 2454 2528 2844 3272 3681 3792 4266 4908 5056 5688 6544 7362 7584 8532 9816 11043 11376 13088 14724 15168 17064 19632 22086 22752 26176 29448 32311 34128 39264 44172 45504 58896 64622 68256 78528 88344 96933 117792 129244 136512 176688 193866 235584 258488 290799 353376 387732 516976 581598 706752 775464 872397 1033952 1163196 1550928 1744794 2067904 2326392 3101856 3489588 4652784 6203712 6979176 9305568 13958352 18611136 27916704 55833408