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45533312 = 271173443
BaseRepresentation
bin1010110110110…
…0100010000000
310011200022221222
42231230202000
543124031222
64303534212
71062012116
oct255544200
9104608858
1045533312
112377a940
12132ba368
1395832b6
146093ab6
153ee6542
hex2b6c880

45533312 has 64 divisors (see below), whose sum is σ = 100539360. Its totient is φ = 20367360.

The previous prime is 45533311. The next prime is 45533317. The reversal of 45533312 is 21333554.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45533311) 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, 102563 + ... + 103005.

Almost surely, 245533312 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 45533312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50269680).

45533312 is an abundant number, since it is smaller than the sum of its proper divisors (55006048).

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

45533312 is a wasteful number, since it uses less digits than its factorization.

45533312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 529 counting only the distinct ones).

The product of its digits is 5400, while the sum is 26.

The square root of 45533312 is about 6747.8375795509. The cubic root of 45533312 is about 357.0889519862.

Adding to 45533312 its reverse (21333554), we get a palindrome (66866866).

The spelling of 45533312 in words is "forty-five million, five hundred thirty-three thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 64 73 88 128 146 176 292 352 443 584 704 803 886 1168 1408 1606 1772 2336 3212 3544 4672 4873 6424 7088 9344 9746 12848 14176 19492 25696 28352 32339 38984 51392 56704 64678 77968 102784 129356 155936 258712 311872 355729 517424 623744 711458 1034848 1422916 2069696 2845832 4139392 5691664 11383328 22766656 45533312