Search a number
-
+
45238014 = 234594733
BaseRepresentation
bin1010110010010…
…0011011111110
310011010022220000
42230210123332
543040104024
64253335130
71056342153
oct254443376
9104108800
1045238014
1123598a98
12131974a6
1394aba73
14601822a
153e88cc9
hex2b246fe

45238014 has 40 divisors (see below), whose sum is σ = 103106520. Its totient is φ = 14820624.

The previous prime is 45237979. The next prime is 45238051. The reversal of 45238014 is 41083254.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7192 + ... + 11924.

It is an arithmetic number, because the mean of its divisors is an integer number (2577663).

Almost surely, 245238014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45238014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51553260).

45238014 is an abundant number, since it is smaller than the sum of its proper divisors (57868506).

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

45238014 is a wasteful number, since it uses less digits than its factorization.

45238014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4806 (or 4797 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 45238014 is about 6725.9210521682. The cubic root of 45238014 is about 356.3153320625.

The spelling of 45238014 in words is "forty-five million, two hundred thirty-eight thousand, fourteen".

Divisors: 1 2 3 6 9 18 27 54 59 81 118 162 177 354 531 1062 1593 3186 4733 4779 9466 9558 14199 28398 42597 85194 127791 255582 279247 383373 558494 766746 837741 1675482 2513223 5026446 7539669 15079338 22619007 45238014