Search a number
-
+
45063540 = 2234527817
BaseRepresentation
bin1010101111100…
…1110101110100
310010210110120000
42223321311310
543014013130
64245511300
71055014404
oct253716564
9103713500
1045063540
11234899a5
1213112530
13944a522
145db0804
153e52260
hex2af9d74

45063540 has 60 divisors (see below), whose sum is σ = 141371076. Its totient is φ = 12016512.

The previous prime is 45063523. The next prime is 45063541. The reversal of 45063540 is 4536054.

It can be written as a sum of positive squares in 2 ways, for example, as 20738916 + 24324624 = 4554^2 + 4932^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45063541) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12289 + ... + 15528.

Almost surely, 245063540 is an apocalyptic number.

It is an amenable number.

45063540 is an abundant number, since it is smaller than the sum of its proper divisors (96307536).

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

45063540 is a wasteful number, since it uses less digits than its factorization.

45063540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27838 (or 27827 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 45063540 is about 6712.9382538498. The cubic root of 45063540 is about 355.8566628275.

Adding to 45063540 its reverse (4536054), we get a palindrome (49599594).

The spelling of 45063540 in words is "forty-five million, sixty-three thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 27817 55634 83451 111268 139085 166902 250353 278170 333804 417255 500706 556340 751059 834510 1001412 1251765 1502118 1669020 2253177 2503530 3004236 3755295 4506354 5007060 7510590 9012708 11265885 15021180 22531770 45063540