Search a number
-
+
2440513452 = 22313210972
BaseRepresentation
bin1001000101110111…
…0100011110101100
320022002020221002010
42101131310132230
514444232412302
61042100401220
7114323010366
oct22135643654
96262227063
102440513452
111042673973
125813a6210
132cb802100
141921a7d36
15e43ca16c
hex917747ac

2440513452 has 54 divisors (see below), whose sum is σ = 6171893868. Its totient is φ = 750242688.

The previous prime is 2440513447. The next prime is 2440513477. The reversal of 2440513452 is 2543150442.

It is a super-2 number, since 2×24405134522 = 11912211818785912608, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2224168 + ... + 2225264.

Almost surely, 22440513452 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 2440513452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3085946934).

2440513452 is an abundant number, since it is smaller than the sum of its proper divisors (3731380416).

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

2440513452 is a wasteful number, since it uses less digits than its factorization.

2440513452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2227 (or 1115 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 2440513452 is about 49401.5531334795. The cubic root of 2440513452 is about 1346.3575247263.

Multiplying 2440513452 by its product of nonzero digits (19200), we get a square (46857858278400 = 68452802).

Adding to 2440513452 its reverse (2543150442), we get a palindrome (4983663894).

The spelling of 2440513452 in words is "two billion, four hundred forty million, five hundred thirteen thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 169 338 507 676 1014 1097 2028 2194 3291 4388 6582 13164 14261 28522 42783 57044 85566 171132 185393 370786 556179 741572 1112358 1203409 2224716 2406818 3610227 4813636 7220454 14440908 15644317 31288634 46932951 62577268 93865902 187731804 203376121 406752242 610128363 813504484 1220256726 2440513452