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3801258336 = 253731274271
BaseRepresentation
bin1110001010010010…
…1001100101100000
3100210220201221010210
43202210221211200
530241110231321
61425110054120
7163125106551
oct34244514540
910726657123
103801258336
111680790717
128a104a340
134876b80b5
14280bbc328
15173ab8b76
hexe2929960

3801258336 has 96 divisors (see below), whose sum is σ = 10197024768. Its totient is φ = 1239598080.

The previous prime is 3801258311. The next prime is 3801258341. The reversal of 3801258336 is 6338521083.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 3801258294 and 3801258303.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 887881 + ... + 892151.

It is an arithmetic number, because the mean of its divisors is an integer number (106219008).

Almost surely, 23801258336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3801258336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5098512384).

3801258336 is an abundant number, since it is smaller than the sum of its proper divisors (6395766432).

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

3801258336 is a wasteful number, since it uses less digits than its factorization.

3801258336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4484 (or 4476 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 3801258336 is about 61654.3456375948. The cubic root of 3801258336 is about 1560.6629792152.

The spelling of 3801258336 in words is "three billion, eight hundred one million, two hundred fifty-eight thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 73 96 127 146 219 254 292 381 438 508 584 762 876 1016 1168 1524 1752 2032 2336 3048 3504 4064 4271 6096 7008 8542 9271 12192 12813 17084 18542 25626 27813 34168 37084 51252 55626 68336 74168 102504 111252 136672 148336 205008 222504 296672 311783 410016 445008 542417 623566 890016 935349 1084834 1247132 1627251 1870698 2169668 2494264 3254502 3741396 4339336 4988528 6509004 7482792 8678672 9977056 13018008 14965584 17357344 26036016 29931168 39596441 52072032 79192882 118789323 158385764 237578646 316771528 475157292 633543056 950314584 1267086112 1900629168 3801258336