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442554804 = 223212293189
BaseRepresentation
bin11010011000001…
…101100110110100
31010211202010001200
4122120031212310
51401243223204
6111525252500
713652440146
oct3230154664
91124663050
10442554804
112078a0a7a
12104264130
13708c0c63
1442ac0c96
1528cbc539
hex1a60d9b4

442554804 has 18 divisors (see below), whose sum is σ = 1118680290. Its totient is φ = 147518256.

The previous prime is 442554751. The next prime is 442554809. The reversal of 442554804 is 408455244.

It can be written as a sum of positive squares in only one way, i.e., 251285904 + 191268900 = 15852^2 + 13830^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-3 number, since 3×4425548043 (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 12293189 = 442554804 / (4 + 4 + 2 + 5 + 5 + 4 + 8 + 0 + 4).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442554809) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6146559 + ... + 6146630.

It is an arithmetic number, because the mean of its divisors is an integer number (62148905).

Almost surely, 2442554804 is an apocalyptic number.

It is an amenable number.

442554804 is an abundant number, since it is smaller than the sum of its proper divisors (676125486).

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

442554804 is a wasteful number, since it uses less digits than its factorization.

442554804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12293199 (or 12293194 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 36.

The square root of 442554804 is about 21036.9865712749. The cubic root of 442554804 is about 762.0597427687.

The spelling of 442554804 in words is "four hundred forty-two million, five hundred fifty-four thousand, eight hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 12293189 24586378 36879567 49172756 73759134 110638701 147518268 221277402 442554804