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554241564 = 223253793677
BaseRepresentation
bin100001000010010…
…000111000011100
31102121220101111100
4201002100320130
52113341212224
6130555153100
716506655422
oct4102207034
91377811440
10554241564
11264944988
12135745790
138aa96cb6
1453875112
15339ceac9
hex21090e1c

554241564 has 72 divisors (see below), whose sum is σ = 1445895360. Its totient is φ = 178918272.

The previous prime is 554241563. The next prime is 554241581. The reversal of 554241564 is 465142455.

554241564 is a `hidden beast` number, since 5 + 54 + 2 + 41 + 564 = 666.

It is a super-2 number, since 2×5542415642 = 614367422530332192, which contains 22 as substring.

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 (554241563) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148894 + ... + 152570.

It is an arithmetic number, because the mean of its divisors is an integer number (20081880).

Almost surely, 2554241564 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 554241564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722947680).

554241564 is an abundant number, since it is smaller than the sum of its proper divisors (891653796).

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

554241564 is a wasteful number, since it uses less digits than its factorization.

554241564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3819 (or 3814 counting only the distinct ones).

The product of its digits is 96000, while the sum is 36.

The square root of 554241564 is about 23542.3355680782. The cubic root of 554241564 is about 821.4220634314.

The spelling of 554241564 in words is "five hundred fifty-four million, two hundred forty-one thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 53 79 106 158 159 212 237 316 318 474 477 636 711 948 954 1422 1908 2844 3677 4187 7354 8374 11031 12561 14708 16748 22062 25122 33093 37683 44124 50244 66186 75366 132372 150732 194881 290483 389762 580966 584643 779524 871449 1161932 1169286 1742898 1753929 2338572 2614347 3485796 3507858 5228694 7015716 10457388 15395599 30791198 46186797 61582396 92373594 138560391 184747188 277120782 554241564