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55352664 = 2332768787
BaseRepresentation
bin1101001100100…
…1110101011000
310212011012120200
43103021311120
5103132241124
65254222200
71241330013
oct323116530
9125135520
1055352664
1129277304
1216654960
13b610873
1474cc37a
154cd5bc9
hex34c9d58

55352664 has 24 divisors (see below), whose sum is σ = 149913660. Its totient is φ = 18450864.

The previous prime is 55352657. The next prime is 55352669. The reversal of 55352664 is 46625355.

It is a happy number.

55352664 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 (24).

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 (55352669) 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 5 ways as a sum of consecutive naturals, for example, 384322 + ... + 384465.

Almost surely, 255352664 is an apocalyptic number.

It is an amenable number.

55352664 is an abundant number, since it is smaller than the sum of its proper divisors (94560996).

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

55352664 is a wasteful number, since it uses less digits than its factorization.

55352664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768799 (or 768792 counting only the distinct ones).

The product of its digits is 108000, while the sum is 36.

The square root of 55352664 is about 7439.9370965083. The cubic root of 55352664 is about 381.1063418620.

The spelling of 55352664 in words is "fifty-five million, three hundred fifty-two thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 768787 1537574 2306361 3075148 4612722 6150296 6919083 9225444 13838166 18450888 27676332 55352664