Search a number
-
+
245864472 = 233717312777
BaseRepresentation
bin11101010011110…
…01100000011000
3122010122012122120
432221321200120
51000420130342
640221421240
76043546020
oct1651714030
9563565576
10245864472
11116869687
126a40a820
133bc25249
1424920a80
15168b8aec
hexea79818

245864472 has 128 divisors (see below), whose sum is σ = 768061440. Its totient is φ = 63959040.

The previous prime is 245864429. The next prime is 245864513. The reversal of 245864472 is 274468542.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 87148 + ... + 89924.

It is an arithmetic number, because the mean of its divisors is an integer number (6000480).

Almost surely, 2245864472 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 245864472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384030720).

245864472 is an abundant number, since it is smaller than the sum of its proper divisors (522196968).

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

245864472 is a wasteful number, since it uses less digits than its factorization.

245864472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2841 (or 2837 counting only the distinct ones).

The product of its digits is 430080, while the sum is 42.

The square root of 245864472 is about 15680.0660712894. The cubic root of 245864472 is about 626.4675674029.

The spelling of 245864472 in words is "two hundred forty-five million, eight hundred sixty-four thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 31 34 42 51 56 62 68 84 93 102 119 124 136 168 186 204 217 238 248 357 372 408 434 476 527 651 714 744 868 952 1054 1302 1428 1581 1736 2108 2604 2777 2856 3162 3689 4216 5208 5554 6324 7378 8331 11067 11108 12648 14756 16662 19439 22134 22216 29512 33324 38878 44268 47209 58317 66648 77756 86087 88536 94418 116634 141627 155512 172174 188836 233268 258261 283254 330463 344348 377672 466536 516522 566508 602609 660926 688696 991389 1033044 1133016 1205218 1321852 1463479 1807827 1982778 2066088 2410436 2643704 2926958 3615654 3965556 4390437 4820872 5853916 7231308 7931112 8780874 10244353 11707832 14462616 17561748 20488706 30733059 35123496 40977412 61466118 81954824 122932236 245864472