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55726840 = 23513313457
BaseRepresentation
bin1101010010010…
…1001011111000
310212212012212001
43110211023320
5103231224330
65310230344
71244445631
oct324451370
9125765761
1055726840
1129502444
12167b53b4
13b711c80
147588888
154d5b9ca
hex35252f8

55726840 has 64 divisors (see below), whose sum is σ = 139426560. Its totient is φ = 19906560.

The previous prime is 55726789. The next prime is 55726841. The reversal of 55726840 is 4862755.

It is a happy number.

55726840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 55726840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55726841) 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, 14392 + ... + 17848.

It is an arithmetic number, because the mean of its divisors is an integer number (2178540).

Almost surely, 255726840 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 55726840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69713280).

55726840 is an abundant number, since it is smaller than the sum of its proper divisors (83699720).

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

55726840 is a wasteful number, since it uses less digits than its factorization.

55726840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3512 (or 3508 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 37.

The square root of 55726840 is about 7465.0411921168. The cubic root of 55726840 is about 381.9631553510.

The spelling of 55726840 in words is "fifty-five million, seven hundred twenty-six thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 31 40 52 62 65 104 124 130 155 248 260 310 403 520 620 806 1240 1612 2015 3224 3457 4030 6914 8060 13828 16120 17285 27656 34570 44941 69140 89882 107167 138280 179764 214334 224705 359528 428668 449410 535835 857336 898820 1071670 1393171 1797640 2143340 2786342 4286680 5572684 6965855 11145368 13931710 27863420 55726840