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4004269992 = 233453116593
BaseRepresentation
bin1110111010101100…
…0100111110101000
3101100001201222210000
43232223010332220
531200043114432
61501201223000
7201141506352
oct35653047650
911301658700
104004269992
111775340348
12939031a60
134ba788138
1429db460d2
1518681a57c
hexeeac4fa8

4004269992 has 80 divisors (see below), whose sum is σ = 11427377940. Its totient is φ = 1309561344.

The previous prime is 4004269967. The next prime is 4004269993. The reversal of 4004269992 is 2999624004.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 3998538756 + 5731236 = 63234^2 + 2394^2 .

It is not an unprimeable number, because it can be changed into a prime (4004269993) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 23953 + ... + 92640.

Almost surely, 24004269992 is an apocalyptic number.

It is an amenable number.

4004269992 is an abundant number, since it is smaller than the sum of its proper divisors (7423107948).

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

4004269992 is a wasteful number, since it uses less digits than its factorization.

4004269992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116664 (or 116651 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 4004269992 is about 63279.3014500002. The cubic root of 4004269992 is about 1587.9657002449.

The spelling of 4004269992 in words is "four billion, four million, two hundred sixty-nine thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 53 54 72 81 106 108 159 162 212 216 318 324 424 477 636 648 954 1272 1431 1908 2862 3816 4293 5724 8586 11448 17172 34344 116593 233186 349779 466372 699558 932744 1049337 1399116 2098674 2798232 3148011 4197348 6179429 6296022 8394696 9444033 12358858 12592044 18538287 18888066 24717716 25184088 37076574 37776132 49435432 55614861 74153148 75552264 111229722 148306296 166844583 222459444 333689166 444918888 500533749 667378332 1001067498 1334756664 2002134996 4004269992