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4022426440 = 2351729203977
BaseRepresentation
bin1110111111000001…
…0101101101001000
3101101022220102202001
43233300111231020
531214220121230
61503050320344
7201452026534
oct35760255510
911338812661
104022426440
11178461157a
129431290b4
134c14743b6
142a2310bc4
151882050ca
hexefc15b48

4022426440 has 64 divisors (see below), whose sum is σ = 9913330800. Its totient is φ = 1462099968.

The previous prime is 4022426393. The next prime is 4022426479. The reversal of 4022426440 is 446242204.

It can be written as a sum of positive squares in 8 ways, for example, as 3531449476 + 490976964 = 59426^2 + 22158^2 .

It is a super-2 number, since 2×40224264402 = 32359828930422147200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4022426399 and 4022426408.

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 15 ways as a sum of consecutive naturals, for example, 82269 + ... + 121708.

Almost surely, 24022426440 is an apocalyptic number.

4022426440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4022426440 is an abundant number, since it is smaller than the sum of its proper divisors (5890904360).

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

4022426440 is a wasteful number, since it uses less digits than its factorization.

4022426440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204034 (or 204030 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

The square root of 4022426440 is about 63422.6019649147. The cubic root of 4022426440 is about 1590.3621711010.

Adding to 4022426440 its reverse (446242204), we get a palindrome (4468668644).

It can be divided in two parts, 4022426 and 440, that added together give a triangular number (4022866 = T2836).

The spelling of 4022426440 in words is "four billion, twenty-two million, four hundred twenty-six thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 17 20 29 34 40 58 68 85 116 136 145 170 232 290 340 493 580 680 986 1160 1972 2465 3944 4930 9860 19720 203977 407954 815908 1019885 1631816 2039770 3467609 4079540 5915333 6935218 8159080 11830666 13870436 17338045 23661332 27740872 29576665 34676090 47322664 59153330 69352180 100560661 118306660 138704360 201121322 236613320 402242644 502803305 804485288 1005606610 2011213220 4022426440