Search a number
-
+
45722000 = 245322861
BaseRepresentation
bin1010111001101…
…0100110010000
310012000220210102
42232122212100
543201101000
64311551532
71063426202
oct256324620
9105026712
1045722000
1123899685
121338b5a8
13961b14c
146102772
1540323d5
hex2b9a990

45722000 has 40 divisors (see below), whose sum is σ = 110560632. Its totient is φ = 18288000.

The previous prime is 45721981. The next prime is 45722003. The reversal of 45722000 is 22754.

It can be written as a sum of positive squares in 4 ways, for example, as 132496 + 45589504 = 364^2 + 6752^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (45722003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9431 + ... + 13430.

Almost surely, 245722000 is an apocalyptic number.

45722000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45722000 is an abundant number, since it is smaller than the sum of its proper divisors (64838632).

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

45722000 is a wasteful number, since it uses less digits than its factorization.

45722000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22884 (or 22868 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 20.

The square root of 45722000 is about 6761.8044928850. The cubic root of 45722000 is about 357.5815257369.

Adding to 45722000 its reverse (22754), we get a palindrome (45744754).

It can be divided in two parts, 45 and 722000, that multiplied together give a square (32490000 = 57002).

The spelling of 45722000 in words is "forty-five million, seven hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 22861 45722 91444 114305 182888 228610 365776 457220 571525 914440 1143050 1828880 2286100 2857625 4572200 5715250 9144400 11430500 22861000 45722000