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4085267984 = 24725398317
BaseRepresentation
bin1111001110000000…
…0011111000010000
3101112201011010010122
43303200003320100
531331312033414
61513213245412
7203144130200
oct36340037020
911481133118
104085267984
111807033336
12960193868
135014a7845
142aa7cc400
1518d9b9b8e
hexf3803e10

4085267984 has 60 divisors (see below), whose sum is σ = 9381306924. Its totient is φ = 1717777152.

The previous prime is 4085267971. The next prime is 4085268107. The reversal of 4085267984 is 4897625804.

It can be written as a sum of positive squares in 2 ways, for example, as 2654310400 + 1430957584 = 51520^2 + 37828^2 .

It is a Harshad number since it is a multiple of its sum of digits (53).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7607 + ... + 90710.

Almost surely, 24085267984 is an apocalyptic number.

It is an amenable number.

4085267984 is an abundant number, since it is smaller than the sum of its proper divisors (5296038940).

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

4085267984 is a wasteful number, since it uses less digits than its factorization.

4085267984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98392 (or 98379 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 53.

The square root of 4085267984 is about 63916.1011326567. The cubic root of 4085267984 is about 1598.6013798531.

The spelling of 4085267984 in words is "four billion, eighty-five million, two hundred sixty-seven thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 49 53 56 98 106 112 196 212 371 392 424 742 784 848 1484 2597 2968 5194 5936 10388 20776 41552 98317 196634 393268 688219 786536 1376438 1573072 2752876 4817533 5210801 5505752 9635066 10421602 11011504 19270132 20843204 36475607 38540264 41686408 72951214 77080528 83372816 145902428 255329249 291804856 510658498 583609712 1021316996 2042633992 4085267984