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5604531444 = 2232792238837
BaseRepresentation
bin1010011100000111…
…00101110011110100
3112110120220200210200
411032003211303310
542434230001234
62324044320500
7255612505551
oct51603456364
915416820720
105604531444
112416680476
121104b43130
136b4182bc5
143b24a7a28
1522c06bd99
hex14e0e5cf4

5604531444 has 72 divisors (see below), whose sum is σ = 14412303360. Its totient is φ = 1836050112.

The previous prime is 5604531437. The next prime is 5604531461. The reversal of 5604531444 is 4441354065.

5604531444 is a `hidden beast` number, since 5 + 60 + 453 + 144 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 5604531399 and 5604531408.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 629794 + ... + 638630.

It is an arithmetic number, because the mean of its divisors is an integer number (200170880).

Almost surely, 25604531444 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 5604531444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7206151680).

5604531444 is an abundant number, since it is smaller than the sum of its proper divisors (8807771916).

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

5604531444 is a wasteful number, since it uses less digits than its factorization.

5604531444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9149 (or 9144 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 5604531444 is about 74863.4185968020. The cubic root of 5604531444 is about 1776.2868609255.

The spelling of 5604531444 in words is "five billion, six hundred four million, five hundred thirty-one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 79 158 223 237 316 446 474 669 711 892 948 1338 1422 2007 2676 2844 4014 8028 8837 17617 17674 26511 35234 35348 52851 53022 70468 79533 105702 106044 158553 159066 211404 317106 318132 634212 698123 1396246 1970651 2094369 2792492 3941302 4188738 5911953 6283107 7882604 8377476 11823906 12566214 17735859 23647812 25132428 35471718 70943436 155681429 311362858 467044287 622725716 934088574 1401132861 1868177148 2802265722 5604531444