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55246464 = 27327131731
BaseRepresentation
bin1101001010111…
…1111010000000
310211221210220100
43102233322000
5103120341324
65252042400
71240405260
oct322577200
9124853810
1055246464
1129204539
1216603400
13b5a4420
1474a17a0
154cb44c9
hex34afe80

55246464 has 384 divisors, whose sum is σ = 213857280. Its totient is φ = 13271040.

The previous prime is 55246463. The next prime is 55246487. The reversal of 55246464 is 46464255.

55246464 is a `hidden beast` number, since 5 + 5 + 2 + 4 + 646 + 4 = 666.

55246464 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 (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55246463) 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 47 ways as a sum of consecutive naturals, for example, 1782129 + ... + 1782159.

It is an arithmetic number, because the mean of its divisors is an integer number (556920).

Almost surely, 255246464 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 55246464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106928640).

55246464 is an abundant number, since it is smaller than the sum of its proper divisors (158610816).

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

55246464 is a wasteful number, since it uses less digits than its factorization.

55246464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 73 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

The square root of 55246464 is about 7432.7965127535. The cubic root of 55246464 is about 380.8624547423.

The spelling of 55246464 in words is "fifty-five million, two hundred forty-six thousand, four hundred sixty-four".