Search a number
-
+
45628968 = 23371124691
BaseRepresentation
bin1010111000001…
…1111000101000
310011212012011210
42232003320220
543140111333
64305553120
71062561030
oct256037050
9104765153
1045628968
11238357a0
12133457a0
1395b79b8
1460ba8c0
154014a63
hex2b83e28

45628968 has 64 divisors (see below), whose sum is σ = 142225920. Its totient is φ = 11851200.

The previous prime is 45628951. The next prime is 45628991. The reversal of 45628968 is 86982654.

It is a happy 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, 10498 + ... + 14193.

It is an arithmetic number, because the mean of its divisors is an integer number (2222280).

Almost surely, 245628968 is an apocalyptic number.

It is an amenable number.

45628968 is an abundant number, since it is smaller than the sum of its proper divisors (96596952).

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

45628968 is a wasteful number, since it uses less digits than its factorization.

45628968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24718 (or 24714 counting only the distinct ones).

The product of its digits is 829440, while the sum is 48.

The square root of 45628968 is about 6754.9217612049. The cubic root of 45628968 is about 357.3388335766.

It can be divided in two parts, 4562 and 8968, that added together give a triangular number (13530 = T164).

The spelling of 45628968 in words is "forty-five million, six hundred twenty-eight thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 132 154 168 231 264 308 462 616 924 1848 24691 49382 74073 98764 148146 172837 197528 271601 296292 345674 518511 543202 592584 691348 814803 1037022 1086404 1382696 1629606 1901207 2074044 2172808 3259212 3802414 4148088 5703621 6518424 7604828 11407242 15209656 22814484 45628968