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4075855104 = 28343831487
BaseRepresentation
bin1111001011110000…
…1001110100000000
3101112001102220002110
43302330021310000
531321404330404
61512235415320
7203001124326
oct36274116400
911461386073
104075855104
1118017942a2
12958bb4540
134cc5602a9
142a945bd16
1518cc5ab89
hexf2f09d00

4075855104 has 144 divisors (see below), whose sum is σ = 11241280512. Its totient is φ = 1310152704.

The previous prime is 4075855103. The next prime is 4075855109. The reversal of 4075855104 is 4015585704.

It is a super-2 number, since 2×40758551042 = 33225189657605701632, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4075855103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2740249 + ... + 2741735.

It is an arithmetic number, because the mean of its divisors is an integer number (78064448).

Almost surely, 24075855104 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 4075855104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5620640256).

4075855104 is an abundant number, since it is smaller than the sum of its proper divisors (7165425408).

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

4075855104 is a wasteful number, since it uses less digits than its factorization.

4075855104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1632 (or 1618 counting only the distinct ones).

The product of its (nonzero) digits is 112000, while the sum is 39.

The square root of 4075855104 is about 63842.4240141303. The cubic root of 4075855104 is about 1597.3726546886.

The spelling of 4075855104 in words is "four billion, seventy-five million, eight hundred fifty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 83 86 96 128 129 166 172 192 249 256 258 332 344 384 498 516 664 688 768 996 1032 1328 1376 1487 1992 2064 2656 2752 2974 3569 3984 4128 4461 5312 5504 5948 7138 7968 8256 8922 10624 10707 11008 11896 14276 15936 16512 17844 21248 21414 23792 28552 31872 33024 35688 42828 47584 57104 63744 63941 71376 85656 95168 114208 123421 127882 142752 171312 190336 191823 228416 246842 255764 285504 342624 370263 380672 383646 456832 493684 511528 571008 685248 740526 767292 913664 987368 1023056 1142016 1370496 1481052 1534584 1974736 2046112 2740992 2962104 3069168 3949472 4092224 5307103 5924208 6138336 7898944 8184448 10614206 11848416 12276672 15797888 15921309 16368896 21228412 23696832 24553344 31595776 31842618 42456824 47393664 49106688 63685236 84913648 94787328 127370472 169827296 254740944 339654592 509481888 679309184 1018963776 1358618368 2037927552 4075855104