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531661312 = 2971311411
BaseRepresentation
bin11111101100001…
…000001000000000
31101001102012012201
4133230020020000
52042101130222
6124431202544
716114021660
oct3754101000
91331365181
10531661312
11253122016
1212a076454
13861bc2c0
14508781a0
1531a1e427
hex1fb08200

531661312 has 80 divisors (see below), whose sum is σ = 1307541312. Its totient is φ = 210309120.

The previous prime is 531661289. The next prime is 531661313. The reversal of 531661312 is 213166135.

It is a super-2 number, since 2×5316613122 = 565327501355122688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (531661313) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40887 + ... + 52297.

Almost surely, 2531661312 is an apocalyptic number.

531661312 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 531661312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653770656).

531661312 is an abundant number, since it is smaller than the sum of its proper divisors (775880000).

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

531661312 is a wasteful number, since it uses less digits than its factorization.

531661312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11449 (or 11433 counting only the distinct ones).

The product of its digits is 3240, while the sum is 28.

The square root of 531661312 is about 23057.7820268993. The cubic root of 531661312 is about 810.1119146284. Note that the first 3 decimals are identical.

The spelling of 531661312 in words is "five hundred thirty-one million, six hundred sixty-one thousand, three hundred twelve".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 182 208 224 256 364 416 448 512 728 832 896 1456 1664 1792 2912 3328 3584 5824 6656 11411 11648 22822 23296 45644 46592 79877 91288 148343 159754 182576 296686 319508 365152 593372 639016 730304 1038401 1186744 1278032 1460608 2076802 2373488 2556064 2921216 4153604 4746976 5112128 5842432 8307208 9493952 10224256 16614416 18987904 20448512 33228832 37975808 40897024 66457664 75951616 132915328 265830656 531661312