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55207656 = 233574057
BaseRepresentation
bin1101001010011…
…0011011101000
310211212211200000
43102212123220
5103113121111
65251143000
71240154160
oct322463350
9124784600
1055207656
1129188369
12165a4a60
13b58c86a
1474915a0
154ca7c56
hex34a66e8

55207656 has 96 divisors (see below), whose sum is σ = 177253440. Its totient is φ = 15769728.

The previous prime is 55207639. The next prime is 55207681. The reversal of 55207656 is 65670255.

55207656 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 (36).

It is a self number, because there is not a number n which added to its sum of digits gives 55207656.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 11580 + ... + 15636.

It is an arithmetic number, because the mean of its divisors is an integer number (1846390).

Almost surely, 255207656 is an apocalyptic number.

55207656 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 55207656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88626720).

55207656 is an abundant number, since it is smaller than the sum of its proper divisors (122045784).

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

55207656 is a wasteful number, since it uses less digits than its factorization.

55207656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4085 (or 4069 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The square root of 55207656 is about 7430.1854620191. The cubic root of 55207656 is about 380.7732546301.

The spelling of 55207656 in words is "fifty-five million, two hundred seven thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 243 252 324 378 486 504 567 648 756 972 1134 1512 1701 1944 2268 3402 4057 4536 6804 8114 12171 13608 16228 24342 28399 32456 36513 48684 56798 73026 85197 97368 109539 113596 146052 170394 219078 227192 255591 292104 328617 340788 438156 511182 657234 681576 766773 876312 985851 1022364 1314468 1533546 1971702 2044728 2300319 2628936 3067092 3943404 4600638 6134184 6900957 7886808 9201276 13801914 18402552 27603828 55207656