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245531412 = 22347731483
BaseRepresentation
bin11101010001010…
…00001100010100
3122010000021210000
432220220030110
51000324001122
640210331300
76040661010
oct1650501424
9563007700
10245531412
11116661425
126a289b30
133bb39779
1424875540
15168500ac
hexea28314

245531412 has 120 divisors (see below), whose sum is σ = 744113216. Its totient is φ = 69144192.

The previous prime is 245531401. The next prime is 245531413. The reversal of 245531412 is 214135542.

245531412 is a `hidden beast` number, since 245 + 5 + 3 + 1 + 412 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245531413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 164823 + ... + 166305.

Almost surely, 2245531412 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 245531412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372056608).

245531412 is an abundant number, since it is smaller than the sum of its proper divisors (498581804).

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

245531412 is a wasteful number, since it uses less digits than its factorization.

245531412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1579 (or 1568 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 245531412 is about 15669.4419811300. The cubic root of 245531412 is about 626.1845584025.

Adding to 245531412 its reverse (214135542), we get a palindrome (459666954).

The spelling of 245531412 in words is "two hundred forty-five million, five hundred thirty-one thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 73 81 84 108 126 146 162 189 219 252 292 324 378 438 511 567 657 756 876 1022 1134 1314 1483 1533 1971 2044 2268 2628 2966 3066 3942 4449 4599 5913 5932 6132 7884 8898 9198 10381 11826 13347 13797 17796 18396 20762 23652 26694 27594 31143 40041 41391 41524 53388 55188 62286 80082 82782 93429 108259 120123 124572 160164 165564 186858 216518 240246 280287 324777 373716 433036 480492 560574 649554 757813 840861 974331 1121148 1299108 1515626 1681722 1948662 2273439 2922993 3031252 3363444 3897324 4546878 5845986 6820317 8768979 9093756 11691972 13640634 17537958 20460951 27281268 35075916 40921902 61382853 81843804 122765706 245531412