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8140422752 = 25711233792
BaseRepresentation
bin1111001010011010…
…01111111001100000
3210000022122022200222
413211031033321200
5113132422012002
63423433302212
7405504310640
oct74515177140
923008568628
108140422752
1134a8069110
1216b2264968
139c966a9c7
145731bc520
153299d71a2
hex1e534fe60

8140422752 has 144 divisors (see below), whose sum is σ = 20904936192. Its totient is φ = 3025693440.

The previous prime is 8140422743. The next prime is 8140422767. The reversal of 8140422752 is 2572240418.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21478499 + ... + 21478877.

It is an arithmetic number, because the mean of its divisors is an integer number (145173168).

Almost surely, 28140422752 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 8140422752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10452468096).

8140422752 is an abundant number, since it is smaller than the sum of its proper divisors (12764513440).

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

8140422752 is a wasteful number, since it uses less digits than its factorization.

8140422752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 809 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 35.

The square root of 8140422752 is about 90224.2913632465. The cubic root of 8140422752 is about 2011.6340887645.

The spelling of 8140422752 in words is "eight billion, one hundred forty million, four hundred twenty-two thousand, seven hundred fifty-two".

Divisors: 1 2 4 7 8 11 14 16 22 23 28 32 44 46 56 77 88 92 112 154 161 176 184 224 253 308 322 352 368 379 506 616 644 736 758 1012 1232 1288 1516 1771 2024 2464 2576 2653 3032 3542 4048 4169 5152 5306 6064 7084 8096 8338 8717 10612 12128 14168 16676 17434 21224 28336 29183 33352 34868 42448 56672 58366 61019 66704 69736 84896 95887 116732 122038 133408 139472 143641 191774 233464 244076 278944 287282 383548 466928 488152 574564 671209 767096 933856 976304 1005487 1149128 1342418 1534192 1580051 1952608 2010974 2298256 2684836 3068384 3160102 3303743 4021948 4596512 5369672 6320204 6607486 8043896 10739344 11060357 12640408 13214972 16087792 21478688 22120714 23126201 25280816 26429944 32175584 36341173 44241428 46252402 50561632 52859888 72682346 88482856 92504804 105719776 145364692 176965712 185009608 254388211 290729384 353931424 370019216 508776422 581458768 740038432 1017552844 1162917536 2035105688 4070211376 8140422752