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55394064 = 24331111657
BaseRepresentation
bin1101001101001…
…1111100010000
310212020022101000
43103103330100
5103140102224
65255142000
71241561505
oct323237420
9125208330
1055394064
11292a5420
1216674900
13b62666b
1474dd4ac
154ce30c9
hex34d3f10

55394064 has 80 divisors (see below), whose sum is σ = 173471040. Its totient is φ = 16784640.

The previous prime is 55394057. The next prime is 55394077. The reversal of 55394064 is 46049355.

It is a happy number.

55394064 is a `hidden beast` number, since 553 + 9 + 40 + 64 = 666.

55394064 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 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 15 ways as a sum of consecutive naturals, for example, 1077 + ... + 10580.

It is an arithmetic number, because the mean of its divisors is an integer number (2168388).

Almost surely, 255394064 is an apocalyptic number.

55394064 is a gapful number since it is divisible by the number (54) 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 55394064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86735520).

55394064 is an abundant number, since it is smaller than the sum of its proper divisors (118076976).

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

55394064 is a wasteful number, since it uses less digits than its factorization.

55394064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11685 (or 11673 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 55394064 is about 7442.7188580518. The cubic root of 55394064 is about 381.2013319942.

The spelling of 55394064 in words is "fifty-five million, three hundred ninety-four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 176 198 216 264 297 396 432 528 594 792 1188 1584 2376 4752 11657 23314 34971 46628 69942 93256 104913 128227 139884 186512 209826 256454 279768 314739 384681 419652 512908 559536 629478 769362 839304 1025816 1154043 1258956 1538724 1678608 2051632 2308086 2517912 3077448 3462129 4616172 5035824 6154896 6924258 9232344 13848516 18464688 27697032 55394064