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55442688 = 283710313
BaseRepresentation
bin1101001101111…
…1110100000000
310212022210001220
43103133310000
5103143131223
65300155040
71242153330
oct323376400
9125283056
1055442688
1129328a04
1216698a80
13b642832
1475130c0
154d026e3
hex34dfd00

55442688 has 72 divisors (see below), whose sum is σ = 168654528. Its totient is φ = 15839232.

The previous prime is 55442683. The next prime is 55442731. The reversal of 55442688 is 88624455.

55442688 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 (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55442683) 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 7 ways as a sum of consecutive naturals, for example, 220 + ... + 10532.

It is an arithmetic number, because the mean of its divisors is an integer number (2342424).

Almost surely, 255442688 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 55442688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84327264).

55442688 is an abundant number, since it is smaller than the sum of its proper divisors (113211840).

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

55442688 is a wasteful number, since it uses less digits than its factorization.

55442688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10339 (or 10325 counting only the distinct ones).

The product of its digits is 307200, while the sum is 42.

The square root of 55442688 is about 7445.9846897506. The cubic root of 55442688 is about 381.3128367986.

The spelling of 55442688 in words is "fifty-five million, four hundred forty-two thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 672 768 896 1344 1792 2688 5376 10313 20626 30939 41252 61878 72191 82504 123756 144382 165008 216573 247512 288764 330016 433146 495024 577528 660032 866292 990048 1155056 1320064 1732584 1980096 2310112 2640128 3465168 3960192 4620224 6930336 7920384 9240448 13860672 18480896 27721344 55442688