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42877000376 = 23743760331
BaseRepresentation
bin100111111011101010…
…110001101010111000
311002200011122022001222
4213323222301222320
51200303003003001
631410350531212
73045350330000
oct477352615270
9132604568058
1042877000376
1117202a49001
128387506b08
13407412c752
14210a717000
1511ae38161b
hex9fbab1ab8

42877000376 has 80 divisors (see below), whose sum is σ = 96324261240. Its totient is φ = 17878916160.

The previous prime is 42877000373. The next prime is 42877000379. The reversal of 42877000376 is 67300077824.

It is an interprime number because it is at equal distance from previous prime (42877000373) and next prime (42877000379).

It is a super-2 number, since 2×428770003762 (a number of 22 digits) contains 22 as substring.

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 42877000376 = 1263 + 35003 = 13743 + 34283.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42877000373) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 680531 + ... + 740861.

Almost surely, 242877000376 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 42877000376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48162130620).

42877000376 is an abundant number, since it is smaller than the sum of its proper divisors (53447260864).

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

42877000376 is an equidigital number, since it uses as much as digits as its factorization.

42877000376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60402 (or 60377 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 44.

The spelling of 42877000376 in words is "forty-two billion, eight hundred seventy-seven million, three hundred seventy-six", and thus it is an aban number.

Divisors: 1 2 4 7 8 14 28 37 49 56 74 98 148 196 259 296 343 392 518 686 1036 1372 1813 2072 2401 2744 3626 4802 7252 9604 12691 14504 19208 25382 50764 60331 88837 101528 120662 177674 241324 355348 422317 482648 710696 844634 1689268 2232247 2956219 3378536 4464494 5912438 8928988 11824876 15625729 17857976 20693533 23649752 31251458 41387066 62502916 82774132 109380103 125005832 144854731 165548264 218760206 289709462 437520412 579418924 765660721 875040824 1158837848 1531321442 3062642884 5359625047 6125285768 10719250094 21438500188 42877000376