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4004973312 = 28329179821
BaseRepresentation
bin1110111010110111…
…0000101100000000
3101100010001201112220
43232231300230000
531200233121222
61501224251040
7201150466014
oct35655605400
911303051486
104004973312
1117757807aa
12939310a80
134ba9732c2
1429dc8a544
15186908b5c
hexeeb70b00

4004973312 has 72 divisors (see below), whose sum is σ = 11026685040. Its totient is φ = 1288949760.

The previous prime is 4004973289. The next prime is 4004973317. The reversal of 4004973312 is 2133794004.

It is a super-2 number, since 2×40049733122 = 32079622459664498688, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4004973317) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67639 + ... + 112182.

Almost surely, 24004973312 is an apocalyptic number.

It is an amenable number.

4004973312 is an abundant number, since it is smaller than the sum of its proper divisors (7021711728).

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

4004973312 is a wasteful number, since it uses less digits than its factorization.

4004973312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179869 (or 179855 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 4004973312 is about 63284.8584734137. The cubic root of 4004973312 is about 1588.0586662251.

The spelling of 4004973312 in words is "four billion, four million, nine hundred seventy-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 256 348 384 464 696 768 928 1392 1856 2784 3712 5568 7424 11136 22272 179821 359642 539463 719284 1078926 1438568 2157852 2877136 4315704 5214809 5754272 8631408 10429618 11508544 15644427 17262816 20859236 23017088 31288854 34525632 41718472 46034176 62577708 69051264 83436944 125155416 138102528 166873888 250310832 333747776 500621664 667495552 1001243328 1334991104 2002486656 4004973312