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2031863424 = 27323297933
BaseRepresentation
bin111100100011011…
…1100011010000000
312020121022100121220
41321012330122000
513130124112144
6533341515040
7101231361033
oct17106743200
95217270556
102031863424
11952a30078
12488572a80
13264c52566
14153bd101a
15bd5a8919
hex791bc680

2031863424 has 128 divisors (see below), whose sum is σ = 5826729600. Its totient is φ = 625422336.

The previous prime is 2031863389. The next prime is 2031863429. The reversal of 2031863424 is 4243681302.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (2031863429) 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, 252162 + ... + 260094.

It is an arithmetic number, because the mean of its divisors is an integer number (45521325).

Almost surely, 22031863424 is an apocalyptic number.

2031863424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2031863424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2913364800).

2031863424 is an abundant number, since it is smaller than the sum of its proper divisors (3794866176).

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

2031863424 is a wasteful number, since it uses less digits than its factorization.

2031863424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8002 (or 7990 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 2031863424 is about 45076.1957578498. The cubic root of 2031863424 is about 1266.5767283633.

The spelling of 2031863424 in words is "two billion, thirty-one million, eight hundred sixty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 29 32 46 48 58 64 69 87 92 96 116 128 138 174 184 192 232 276 348 368 384 464 552 667 696 736 928 1104 1334 1392 1472 1856 2001 2208 2668 2784 2944 3712 4002 4416 5336 5568 7933 8004 8832 10672 11136 15866 16008 21344 23799 31732 32016 42688 47598 63464 64032 85376 95196 126928 128064 182459 190392 230057 253856 256128 364918 380784 460114 507712 547377 690171 729836 761568 920228 1015424 1094754 1380342 1459672 1523136 1840456 2189508 2760684 2919344 3046272 3680912 4379016 5291311 5521368 5838688 7361824 8758032 10582622 11042736 11677376 14723648 15873933 17516064 21165244 22085472 23354752 29447296 31747866 35032128 42330488 44170944 63495732 70064256 84660976 88341888 126991464 169321952 253982928 338643904 507965856 677287808 1015931712 2031863424