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3992931144 = 233255457377
BaseRepresentation
bin1110110111111111…
…0100101101001000
3101022021101220210200
43231333310231020
531134142244034
61500114212200
7200643232446
oct35577645510
911267356720
103992931144
1117699a62a4
12935284060
134b8318067
1429c433b96
1518582aa99
hexedff4b48

3992931144 has 24 divisors (see below), whose sum is σ = 10814188710. Its totient is φ = 1330977024.

The previous prime is 3992931121. The next prime is 3992931167. The reversal of 3992931144 is 4411392993.

It is an interprime number because it is at equal distance from previous prime (3992931121) and next prime (3992931167).

It can be written as a sum of positive squares in only one way, i.e., 3987922500 + 5008644 = 63150^2 + 2238^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 3992931144.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 27728617 + ... + 27728760.

Almost surely, 23992931144 is an apocalyptic number.

It is an amenable number.

3992931144 is an abundant number, since it is smaller than the sum of its proper divisors (6821257566).

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

3992931144 is a wasteful number, since it uses less digits than its factorization.

3992931144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55457389 (or 55457382 counting only the distinct ones).

The product of its digits is 209952, while the sum is 45.

The square root of 3992931144 is about 63189.6442781568. The cubic root of 3992931144 is about 1586.4654081364.

The spelling of 3992931144 in words is "three billion, nine hundred ninety-two million, nine hundred thirty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 55457377 110914754 166372131 221829508 332744262 443659016 499116393 665488524 998232786 1330977048 1996465572 3992931144