Search a number
-
+
4024122440 = 235137738697
BaseRepresentation
bin1110111111011011…
…0011110001001000
3101101110002121012212
43233312303301020
531220133404230
61503150524252
7201502322252
oct35766636110
911343077185
104024122440
11178556a828
12943806688
134c1919350
142a2632cd2
1518843c895
hexefdb3c48

4024122440 has 32 divisors (see below), whose sum is σ = 9750759480. Its totient is φ = 1485829632.

The previous prime is 4024122437. The next prime is 4024122457. The reversal of 4024122440 is 442214204.

It can be written as a sum of positive squares in 4 ways, for example, as 2014034884 + 2010087556 = 44878^2 + 44834^2 .

It is a super-2 number, since 2×40241224402 = 32387122824223107200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3868829 + ... + 3869868.

Almost surely, 24024122440 is an apocalyptic number.

4024122440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4024122440 is an abundant number, since it is smaller than the sum of its proper divisors (5726637040).

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

4024122440 is a wasteful number, since it uses less digits than its factorization.

4024122440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7738721 (or 7738717 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 23.

The square root of 4024122440 is about 63435.9711835485. The cubic root of 4024122440 is about 1590.5856577025.

Adding to 4024122440 its reverse (442214204), we get a palindrome (4466336644).

The spelling of 4024122440 in words is "four billion, twenty-four million, one hundred twenty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 7738697 15477394 30954788 38693485 61909576 77386970 100603061 154773940 201206122 309547880 402412244 503015305 804824488 1006030610 2012061220 4024122440