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531394704 = 24321721132
BaseRepresentation
bin11111101011000…
…111000010010000
31101000220122111100
4133223013002100
52042014112304
6124421344400
716111531461
oct3753070220
91330818440
10531394704
11252a5a785
12129b68100
1386127b49
1450808d68
15319ba439
hex1fac7090

531394704 has 135 divisors (see below), whose sum is σ = 1593897643. Its totient is φ = 165236736.

The previous prime is 531394697. The next prime is 531394709. The reversal of 531394704 is 407493135.

The square root of 531394704 is 23052.

It is a perfect power (a square), and thus also a powerful number.

531394704 is a `hidden beast` number, since 53 + 139 + 470 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 64834704 + 466560000 = 8052^2 + 21600^2 .

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (531394709) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4702552 + ... + 4702664.

Almost surely, 2531394704 is an apocalyptic number.

531394704 is the 23052-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 531394704

531394704 is an abundant number, since it is smaller than the sum of its proper divisors (1062502939).

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

531394704 is a wasteful number, since it uses less digits than its factorization.

531394704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The cubic root of 531394704 is about 809.9764785122.

Multiplying 531394704 by its sum of digits (36), we get a square (19130209344 = 1383122).

531394704 divided by its sum of digits (36) gives a square (14760964 = 38422).

The spelling of 531394704 in words is "five hundred thirty-one million, three hundred ninety-four thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 113 136 144 153 204 226 272 289 306 339 408 452 578 612 678 816 867 904 1017 1156 1224 1356 1734 1808 1921 2034 2312 2448 2601 2712 3468 3842 4068 4624 5202 5424 5763 6936 7684 8136 10404 11526 12769 13872 15368 16272 17289 20808 23052 25538 30736 32657 34578 38307 41616 46104 51076 65314 69156 76614 92208 97971 102152 114921 130628 138312 153228 195942 204304 217073 229842 261256 276624 293913 306456 391884 434146 459684 522512 587826 612912 651219 783768 868292 919368 1175652 1302438 1567536 1736584 1838736 1953657 2351304 2604876 3473168 3690241 3907314 4702608 5209752 7380482 7814628 10419504 11070723 14760964 15629256 22141446 29521928 31258512 33212169 44282892 59043856 66424338 88565784 132848676 177131568 265697352 531394704