Search a number
-
+
45415216 = 24711191193
BaseRepresentation
bin1010110100111…
…1101100110000
310011110022222001
42231033230300
543111241331
64301223344
71061010610
oct255175460
9104408861
1045415216
11236aa140
1213261b54
139541612
146062a40
153ec1561
hex2b4fb30

45415216 has 80 divisors (see below), whose sum is σ = 110850048. Its totient is φ = 17510400.

The previous prime is 45415163. The next prime is 45415259. The reversal of 45415216 is 61251454.

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

It is a pancake number, because a pancake can be divided into 45415216 parts by 9530 straight cuts.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 235216 + ... + 235408.

Almost surely, 245415216 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 45415216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55425024).

45415216 is an abundant number, since it is smaller than the sum of its proper divisors (65434832).

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

45415216 is a wasteful number, since it uses less digits than its factorization.

45415216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 404 counting only the distinct ones).

The product of its digits is 4800, while the sum is 28.

The square root of 45415216 is about 6739.0812430182. The cubic root of 45415216 is about 356.7799673042.

The spelling of 45415216 in words is "forty-five million, four hundred fifteen thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 154 176 191 193 308 382 386 616 764 772 1232 1337 1351 1528 1544 2101 2123 2674 2702 3056 3088 4202 4246 5348 5404 8404 8492 10696 10808 14707 14861 16808 16984 21392 21616 29414 29722 33616 33968 36863 58828 59444 73726 117656 118888 147452 235312 237776 258041 294904 405493 516082 589808 810986 1032164 1621972 2064328 2838451 3243944 4128656 5676902 6487888 11353804 22707608 45415216