Search a number
-
+
465724038 = 231353112657
BaseRepresentation
bin11011110000100…
…110001010000110
31012110100020021110
4123300212022012
51423211132123
6114114025450
714353406013
oct3360461206
91173306243
10465724038
112199863aa
1210bb78286
1375643a70
1445bd270a
152ad47493
hex1bc26286

465724038 has 32 divisors (see below), whose sum is σ = 1022033376. Its totient is φ = 140594688.

The previous prime is 465724031. The next prime is 465724057. The reversal of 465724038 is 830427564.

It is a happy number.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 465723987 and 465724005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (465724031) by changing a digit.

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, 52195 + ... + 60462.

It is an arithmetic number, because the mean of its divisors is an integer number (31938543).

Almost surely, 2465724038 is an apocalyptic number.

465724038 is an abundant number, since it is smaller than the sum of its proper divisors (556309338).

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

465724038 is a wasteful number, since it uses less digits than its factorization.

465724038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112728.

The product of its (nonzero) digits is 161280, while the sum is 39.

The square root of 465724038 is about 21580.6403519451. The cubic root of 465724038 is about 775.1329847410.

The spelling of 465724038 in words is "four hundred sixty-five million, seven hundred twenty-four thousand, thirty-eight".

Divisors: 1 2 3 6 13 26 39 53 78 106 159 318 689 1378 2067 4134 112657 225314 337971 675942 1464541 2929082 4393623 5970821 8787246 11941642 17912463 35824926 77620673 155241346 232862019 465724038