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55426688 = 272367281
BaseRepresentation
bin1101001101101…
…1111010000000
310212021222010022
43103123322000
5103142123223
65255553012
71242055562
oct323337200
9125258108
1055426688
1129317989
121668b768
13b638475
14750b332
154cecac8
hex34dbe80

55426688 has 64 divisors (see below), whose sum is σ = 117357120. Its totient is φ = 26019840.

The previous prime is 55426687. The next prime is 55426691. The reversal of 55426688 is 88662455.

55426688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (55426687) 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, 197108 + ... + 197388.

It is an arithmetic number, because the mean of its divisors is an integer number (1833705).

Almost surely, 255426688 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 55426688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58678560).

55426688 is an abundant number, since it is smaller than the sum of its proper divisors (61930432).

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

55426688 is a wasteful number, since it uses less digits than its factorization.

55426688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 373 counting only the distinct ones).

The product of its digits is 460800, while the sum is 44.

The square root of 55426688 is about 7444.9102076519. The cubic root of 55426688 is about 381.2761527164.

The spelling of 55426688 in words is "fifty-five million, four hundred twenty-six thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 16 23 32 46 64 67 92 128 134 184 268 281 368 536 562 736 1072 1124 1472 1541 2144 2248 2944 3082 4288 4496 6164 6463 8576 8992 12328 12926 17984 18827 24656 25852 35968 37654 49312 51704 75308 98624 103408 150616 197248 206816 301232 413632 433021 602464 827264 866042 1204928 1732084 2409856 3464168 6928336 13856672 27713344 55426688