Search a number
-
+
45689856 = 2103107139
BaseRepresentation
bin1010111001001…
…0110000000000
310011222021200220
42232102300000
543144033411
64311143040
71063233402
oct256226000
9104867626
1045689856
1123877513
1213374a80
139609624
1460d4b72
154027b06
hex2b92c00

45689856 has 88 divisors (see below), whose sum is σ = 123802560. Its totient is φ = 14979072.

The previous prime is 45689821. The next prime is 45689881. The reversal of 45689856 is 65898654.

It is a junction number, because it is equal to n+sod(n) for n = 45689799 and 45689808.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 328635 + ... + 328773.

Almost surely, 245689856 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 45689856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61901280).

45689856 is an abundant number, since it is smaller than the sum of its proper divisors (78112704).

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

45689856 is a wasteful number, since it uses less digits than its factorization.

45689856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 251 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 51.

The square root of 45689856 is about 6759.4271946667. The cubic root of 45689856 is about 357.4977090827.

The spelling of 45689856 in words is "forty-five million, six hundred eighty-nine thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 107 128 139 192 214 256 278 321 384 417 428 512 556 642 768 834 856 1024 1112 1284 1536 1668 1712 2224 2568 3072 3336 3424 4448 5136 6672 6848 8896 10272 13344 13696 14873 17792 20544 26688 27392 29746 35584 41088 44619 53376 54784 59492 71168 82176 89238 106752 109568 118984 142336 164352 178476 213504 237968 328704 356952 427008 475936 713904 951872 1427808 1903744 2855616 3807488 5711232 7614976 11422464 15229952 22844928 45689856