[go: up one dir, main page]

Search a number
-
+
45688896 = 2632117211
BaseRepresentation
bin1010111001001…
…0100001000000
310011222020101100
42232102201000
543144021041
64311134400
71063230531
oct256224100
9104866340
1045688896
1123876820
1213374400
139609066
1460d4688
1540276b6
hex2b92840

45688896 has 84 divisors (see below), whose sum is σ = 142884144. Its totient is φ = 13843200.

The previous prime is 45688889. The next prime is 45688897. The reversal of 45688896 is 69888654.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (45688897) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2731 + ... + 9941.

Almost surely, 245688896 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 45688896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71442072).

45688896 is an abundant number, since it is smaller than the sum of its proper divisors (97195248).

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

45688896 is a wasteful number, since it uses less digits than its factorization.

45688896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7240 (or 7227 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 54.

The square root of 45688896 is about 6759.3561823594. The cubic root of 45688896 is about 357.4952052432.

The spelling of 45688896 in words is "forty-five million, six hundred eighty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 132 144 176 192 198 264 288 352 396 528 576 704 792 1056 1584 2112 3168 6336 7211 14422 21633 28844 43266 57688 64899 79321 86532 115376 129798 158642 173064 230752 237963 259596 317284 346128 461504 475926 519192 634568 692256 713889 951852 1038384 1269136 1384512 1427778 1903704 2076768 2538272 2855556 3807408 4153536 5076544 5711112 7614816 11422224 15229632 22844448 45688896