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45805104 = 2432312331
BaseRepresentation
bin1010111010111…
…0111000110000
310012012010210100
42232232320300
543211230404
64313432400
71064223402
oct256567060
9105163710
1045805104
1123946064
121340b700
139649c17
146124b72
15404bd39
hex2baee30

45805104 has 90 divisors (see below), whose sum is σ = 132859428. Its totient is φ = 14731200.

The previous prime is 45805103. The next prime is 45805129. The reversal of 45805104 is 40150854.

It is not an unprimeable number, because it can be changed into a prime (45805103) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 138219 + ... + 138549.

Almost surely, 245805104 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 45805104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66429714).

45805104 is an abundant number, since it is smaller than the sum of its proper divisors (87054324).

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

45805104 is a wasteful number, since it uses less digits than its factorization.

45805104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 45805104 is about 6767.9468083016. The cubic root of 45805104 is about 357.7980405375.

Adding to 45805104 its reverse (40150854), we get a palindrome (85955958).

The spelling of 45805104 in words is "forty-five million, eight hundred five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 248 279 331 372 496 558 662 744 961 993 1116 1324 1488 1922 1986 2232 2648 2883 2979 3844 3972 4464 5296 5766 5958 7688 7944 8649 10261 11532 11916 15376 15888 17298 20522 23064 23832 30783 34596 41044 46128 47664 61566 69192 82088 92349 123132 138384 164176 184698 246264 318091 369396 492528 636182 738792 954273 1272364 1477584 1908546 2544728 2862819 3817092 5089456 5725638 7634184 11451276 15268368 22902552 45805104