Search a number
-
+
53382456 = 2333247141
BaseRepresentation
bin1100101110100…
…0110100111000
310201110002222000
43023220310320
5102131214311
65144101000
71215512661
oct313506470
9121402860
1053382456
1128151036
1215a64760
13b0a0b6a
147138368
154a47056
hex32e8d38

53382456 has 32 divisors (see below), whose sum is σ = 148285200. Its totient is φ = 17794080.

The previous prime is 53382421. The next prime is 53382473. The reversal of 53382456 is 65428335.

It is a happy number.

53382456 is a `hidden beast` number, since 533 + 82 + 45 + 6 = 666.

53382456 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 53382456.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 123355 + ... + 123786.

Almost surely, 253382456 is an apocalyptic number.

It is an amenable number.

53382456 is an abundant number, since it is smaller than the sum of its proper divisors (94902744).

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

53382456 is a wasteful number, since it uses less digits than its factorization.

53382456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247156 (or 247146 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 53382456 is about 7306.3298584173. The cubic root of 53382456 is about 376.5299415879.

The spelling of 53382456 in words is "fifty-three million, three hundred eighty-two thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 247141 494282 741423 988564 1482846 1977128 2224269 2965692 4448538 5931384 6672807 8897076 13345614 17794152 26691228 53382456