Search a number
-
+
55563552 = 25321117539
BaseRepresentation
bin1101001111110…
…1010100100000
310212112220212100
43103331110200
5103211013202
65302530400
71243165602
oct323752440
9125486770
1055563552
11294007a0
1216736a00
13b685855
147545172
154d2841c
hex34fd520

55563552 has 72 divisors (see below), whose sum is σ = 172383120. Its totient is φ = 16836480.

The previous prime is 55563551. The next prime is 55563583. The reversal of 55563552 is 25536555.

55563552 is a `hidden beast` number, since 55 + 56 + 3 + 552 = 666.

55563552 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 (72).

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

It is not an unprimeable number, because it can be changed into a prime (55563551) 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 11 ways as a sum of consecutive naturals, for example, 5602 + ... + 11937.

It is an arithmetic number, because the mean of its divisors is an integer number (2394210).

Almost surely, 255563552 is an apocalyptic number.

It is an amenable number.

55563552 is an abundant number, since it is smaller than the sum of its proper divisors (116819568).

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

55563552 is a wasteful number, since it uses less digits than its factorization.

55563552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17566 (or 17555 counting only the distinct ones).

The product of its digits is 112500, while the sum is 36.

The square root of 55563552 is about 7454.0963234989. The cubic root of 55563552 is about 381.5897205938.

The spelling of 55563552 in words is "fifty-five million, five hundred sixty-three thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168 17539 35078 52617 70156 105234 140312 157851 192929 210468 280624 315702 385858 420936 561248 578787 631404 771716 841872 1157574 1262808 1543432 1683744 1736361 2315148 2525616 3086864 3472722 4630296 5051232 6173728 6945444 9260592 13890888 18521184 27781776 55563552