Search a number
-
+
4240253024 = 257213719739
BaseRepresentation
bin1111110010111101…
…0010000001100000
3101221111210011122022
43330233102001200
532141001044044
61540431201012
7210035361500
oct37457220140
911844704568
104240253024
11188656a947
129a4076168
13527630777
142c3213a00
1519c3d13ee
hexfcbd2060

4240253024 has 72 divisors (see below), whose sum is σ = 9782314920. Its totient is φ = 1803895296.

The previous prime is 4240253011. The next prime is 4240253029. The reversal of 4240253024 is 4203520424.

It is a happy number.

It is a super-2 number, since 2×42402530242 = 35959491415082289152, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4240252984 and 4240253002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4240253029) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 204947 + ... + 224685.

It is an arithmetic number, because the mean of its divisors is an integer number (135865485).

Almost surely, 24240253024 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 4240253024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4891157460).

4240253024 is an abundant number, since it is smaller than the sum of its proper divisors (5542061896).

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

4240253024 is a wasteful number, since it uses less digits than its factorization.

4240253024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19900 (or 19885 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 26.

The square root of 4240253024 is about 65117.2252480095. The cubic root of 4240253024 is about 1618.5666618755.

Adding to 4240253024 its reverse (4203520424), we get a palindrome (8443773448).

The spelling of 4240253024 in words is "four billion, two hundred forty million, two hundred fifty-three thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 137 196 224 274 392 548 784 959 1096 1568 1918 2192 3836 4384 6713 7672 13426 15344 19739 26852 30688 39478 53704 78956 107408 138173 157912 214816 276346 315824 552692 631648 967211 1105384 1934422 2210768 2704243 3868844 4421536 5408486 7737688 10816972 15475376 18929701 21633944 30950752 37859402 43267888 75718804 86535776 132507907 151437608 265015814 302875216 530031628 605750432 1060063256 2120126512 4240253024