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55622336 = 2671111287
BaseRepresentation
bin1101010000101…
…1101011000000
310212122220111112
43110023223000
5103214403321
65304102452
71243532150
oct324135300
9125586445
1055622336
1129440980
1216764a28
13b6a6533
14755c760
154d3aa5b
hex350bac0

55622336 has 56 divisors (see below), whose sum is σ = 137623296. Its totient is φ = 21669120.

The previous prime is 55622327. The next prime is 55622341. The reversal of 55622336 is 63322655.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (32).

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 7 ways as a sum of consecutive naturals, for example, 716 + ... + 10571.

Almost surely, 255622336 is an apocalyptic number.

55622336 is a gapful number since it is divisible by the number (56) 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 55622336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68811648).

55622336 is an abundant number, since it is smaller than the sum of its proper divisors (82000960).

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

55622336 is a wasteful number, since it uses less digits than its factorization.

55622336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11317 (or 11307 counting only the distinct ones).

The product of its digits is 32400, while the sum is 32.

The square root of 55622336 is about 7458.0383479840. The cubic root of 55622336 is about 381.7242420171.

The spelling of 55622336 in words is "fifty-five million, six hundred twenty-two thousand, three hundred thirty-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 154 176 224 308 352 448 616 704 1232 2464 4928 11287 22574 45148 79009 90296 124157 158018 180592 248314 316036 361184 496628 632072 722368 869099 993256 1264144 1738198 1986512 2528288 3476396 3973024 5056576 6952792 7946048 13905584 27811168 55622336