Search a number
-
+
45243680 = 255282773
BaseRepresentation
bin1010110010010…
…1110100100000
310011010121122212
42230211310200
543040244210
64253421252
71056364526
oct254456440
9104117585
1045243680
11235a2279
121319a828
1394b1511
14601a316
153e8a805
hex2b25d20

45243680 has 24 divisors (see below), whose sum is σ = 106888572. Its totient is φ = 18097408.

The previous prime is 45243673. The next prime is 45243689. The reversal of 45243680 is 8634254.

It can be written as a sum of positive squares in 2 ways, for example, as 44462224 + 781456 = 6668^2 + 884^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (45243689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 141227 + ... + 141546.

Almost surely, 245243680 is an apocalyptic number.

45243680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45243680 is an abundant number, since it is smaller than the sum of its proper divisors (61644892).

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

45243680 is a wasteful number, since it uses less digits than its factorization.

45243680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282788 (or 282780 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The square root of 45243680 is about 6726.3422452325. The cubic root of 45243680 is about 356.3302074457.

The spelling of 45243680 in words is "forty-five million, two hundred forty-three thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 282773 565546 1131092 1413865 2262184 2827730 4524368 5655460 9048736 11310920 22621840 45243680