[go: up one dir, main page]

Search a number
-
+
53374002 = 231119311373
BaseRepresentation
bin1100101110011…
…0110000110010
310201102200100220
43023212300302
5102130432002
65143553510
71215446223
oct313466062
9121380326
1053374002
1128145750
1215a5b896
13b09a066
14713524a
154a447bc
hex32e6c32

53374002 has 64 divisors (see below), whose sum is σ = 126627840. Its totient is φ = 14817600.

The previous prime is 53374001. The next prime is 53374049. The reversal of 53374002 is 20047335.

53374002 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (53374001) 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 31 ways as a sum of consecutive naturals, for example, 38188 + ... + 39560.

It is an arithmetic number, because the mean of its divisors is an integer number (1978560).

Almost surely, 253374002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53374002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63313920).

53374002 is an abundant number, since it is smaller than the sum of its proper divisors (73253838).

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

53374002 is a wasteful number, since it uses less digits than its factorization.

53374002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1439.

The product of its (nonzero) digits is 2520, while the sum is 24.

The square root of 53374002 is about 7305.7512960681. The cubic root of 53374002 is about 376.5100639451.

It can be divided in two parts, 5337 and 4002, that added together give a palindrome (9339).

The spelling of 53374002 in words is "fifty-three million, three hundred seventy-four thousand, two".

Divisors: 1 2 3 6 11 19 22 31 33 38 57 62 66 93 114 186 209 341 418 589 627 682 1023 1178 1254 1373 1767 2046 2746 3534 4119 6479 8238 12958 15103 19437 26087 30206 38874 42563 45309 52174 78261 85126 90618 127689 156522 255378 286957 468193 573914 808697 860871 936386 1404579 1617394 1721742 2426091 2809158 4852182 8895667 17791334 26687001 53374002