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42024573882 = 2321926796527
BaseRepresentation
bin100111001000110111…
…000001101110111010
311000110202122112202100
4213020313001232322
51142031242331012
631150020244230
73015256661364
oct471067015672
9130422575670
1042024573882
111690585a3a5
128189b40676
133c69651b85
142069421d34
15115e6008dc
hex9c8dc1bba

42024573882 has 72 divisors (see below), whose sum is σ = 97533049536. Its totient is φ = 13072709232.

The previous prime is 42024573839. The next prime is 42024573883. The reversal of 42024573882 is 28837542024.

42024573882 is a `hidden beast` number, since 4 + 20 + 245 + 7 + 388 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (42024573883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 387103 + ... + 483629.

It is an arithmetic number, because the mean of its divisors is an integer number (1354625688).

Almost surely, 242024573882 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42024573882, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48766524768).

42024573882 is an abundant number, since it is smaller than the sum of its proper divisors (55508475654).

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

42024573882 is a wasteful number, since it uses less digits than its factorization.

42024573882 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96640 (or 96618 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 42024573882 in words is "forty-two billion, twenty-four million, five hundred seventy-three thousand, eight hundred eighty-two".

Divisors: 1 2 3 6 9 18 19 38 57 67 114 134 171 201 342 361 402 603 722 1083 1206 1273 2166 2546 3249 3819 6498 7638 11457 22914 24187 48374 72561 96527 145122 193054 217683 289581 435366 579162 868743 1737486 1834013 3668026 5502039 6467309 11004078 12934618 16506117 19401927 33012234 34846247 38803854 58205781 69692494 104538741 116411562 122878871 209077482 245757742 313616223 368636613 627232446 737273226 1105909839 2211819678 2334698549 4669397098 7004095647 14008191294 21012286941 42024573882