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4024442440 = 235192278701
BaseRepresentation
bin1110111111100000…
…0001111001001000
3101101110200212011201
43233320001321020
531220224124230
61503201433544
7201505124224
oct35770017110
911343625151
104024442440
111785769197
1294393b8b4
134c19cbbb5
142a26b7784
151884a25ca
hexefe01e48

4024442440 has 48 divisors (see below), whose sum is σ = 9556691580. Its totient is φ = 1525046400.

The previous prime is 4024442437. The next prime is 4024442441. The reversal of 4024442440 is 442444204.

4024442440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3803682276 + 220760164 = 61674^2 + 14858^2 .

It is a super-2 number, since 2×40244424402 = 32392273905746307200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4024442399 and 4024442408.

It is not an unprimeable number, because it can be changed into a prime (4024442441) 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, 124911 + ... + 153790.

Almost surely, 24024442440 is an apocalyptic number.

4024442440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4024442440 is an abundant number, since it is smaller than the sum of its proper divisors (5532249140).

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

4024442440 is a wasteful number, since it uses less digits than its factorization.

4024442440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278750 (or 278727 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

The square root of 4024442440 is about 63438.4933616807. The cubic root of 4024442440 is about 1590.6278179438.

Adding to 4024442440 its reverse (442444204), we get a palindrome (4466886644).

The spelling of 4024442440 in words is "four billion, twenty-four million, four hundred forty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 361 380 722 760 1444 1805 2888 3610 7220 14440 278701 557402 1114804 1393505 2229608 2787010 5295319 5574020 10590638 11148040 21181276 26476595 42362552 52953190 100611061 105906380 201222122 211812760 402444244 503055305 804888488 1006110610 2012221220 4024442440