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55829072 = 24131391931
BaseRepresentation
bin1101010011111…
…0001001010000
310220001102002102
43110332021100
5103243012242
65312335532
71245352655
oct324761120
9126042072
1055829072
1129572232
12168445a8
13b749670
1475b3c2c
154d7be32
hex353e250

55829072 has 40 divisors (see below), whose sum is σ = 117388320. Its totient is φ = 25568640.

The previous prime is 55829057. The next prime is 55829083. The reversal of 55829072 is 27092855.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27947 + ... + 29877.

It is an arithmetic number, because the mean of its divisors is an integer number (2934708).

Almost surely, 255829072 is an apocalyptic number.

55829072 is a gapful number since it is divisible by the number (52) 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 55829072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58694160).

55829072 is an abundant number, since it is smaller than the sum of its proper divisors (61559248).

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

55829072 is a wasteful number, since it uses less digits than its factorization.

55829072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2091 (or 2085 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 38.

The square root of 55829072 is about 7471.8854380939. The cubic root of 55829072 is about 382.1965856751.

The spelling of 55829072 in words is "fifty-five million, eight hundred twenty-nine thousand, seventy-two".

Divisors: 1 2 4 8 13 16 26 52 104 139 208 278 556 1112 1807 1931 2224 3614 3862 7228 7724 14456 15448 25103 28912 30896 50206 100412 200824 268409 401648 536818 1073636 2147272 3489317 4294544 6978634 13957268 27914536 55829072