Search a number
-
+
45674020 = 22571073049
BaseRepresentation
bin1010111000111…
…0111000100100
310011221110222101
42232032320210
543143032040
64310541444
71063136260
oct256167044
9104843871
1045674020
1123866627
1213367884
139602362
1460cd0a0
15402309a
hex2b8ee24

45674020 has 48 divisors (see below), whose sum is σ = 110678400. Its totient is φ = 15508224.

The previous prime is 45674003. The next prime is 45674033. The reversal of 45674020 is 2047654.

45674020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×456740202 = 4172232205920800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 45674020.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13456 + ... + 16504.

It is an arithmetic number, because the mean of its divisors is an integer number (2305800).

Almost surely, 245674020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45674020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55339200).

45674020 is an abundant number, since it is smaller than the sum of its proper divisors (65004380).

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

45674020 is a wasteful number, since it uses less digits than its factorization.

45674020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3172 (or 3170 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The square root of 45674020 is about 6758.2556921146. The cubic root of 45674020 is about 357.4564016795.

The spelling of 45674020 in words is "forty-five million, six hundred seventy-four thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 107 140 214 428 535 749 1070 1498 2140 2996 3049 3745 6098 7490 12196 14980 15245 21343 30490 42686 60980 85372 106715 213430 326243 426860 652486 1304972 1631215 2283701 3262430 4567402 6524860 9134804 11418505 22837010 45674020