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4087606608 = 2432292334201
BaseRepresentation
bin1111001110100011…
…1110110101010000
3101112212112221010100
43303220332311100
531332411402413
61513335332400
7203203040301
oct36350766520
911485487110
104087606608
111808390388
12960b21100
13501b16147
142aac3a7a8
1518dccca73
hexf3a3ed50

4087606608 has 120 divisors (see below), whose sum is σ = 11887710120. Its totient is φ = 1309593600.

The previous prime is 4087606571. The next prime is 4087606613. The reversal of 4087606608 is 8066067804.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2862864 + 4084743744 = 1692^2 + 63912^2 .

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, 970908 + ... + 975108.

It is an arithmetic number, because the mean of its divisors is an integer number (99064251).

Almost surely, 24087606608 is an apocalyptic number.

4087606608 is a gapful number since it is divisible by the number (48) 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 4087606608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5943855060).

4087606608 is an abundant number, since it is smaller than the sum of its proper divisors (7800103512).

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

4087606608 is a wasteful number, since it uses less digits than its factorization.

4087606608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4477 (or 4468 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 4087606608 is about 63934.3929978224. The cubic root of 4087606608 is about 1598.9063630609.

The spelling of 4087606608 in words is "four billion, eighty-seven million, six hundred six thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 232 233 261 348 464 466 522 696 699 932 1044 1392 1398 1864 2088 2097 2796 3728 4176 4194 4201 5592 6757 8388 8402 11184 12603 13514 16776 16804 20271 25206 27028 33552 33608 37809 40542 50412 54056 60813 67216 75618 81084 100824 108112 121626 121829 151236 162168 201648 243252 243658 302472 324336 365487 486504 487316 604944 730974 973008 974632 978833 1096461 1461948 1949264 1957666 2192922 2923896 2936499 3915332 4385844 5847792 5872998 7830664 8771688 8809497 11745996 15661328 17543376 17618994 23491992 28386157 35237988 46983984 56772314 70475976 85158471 113544628 140951952 170316942 227089256 255475413 340633884 454178512 510950826 681267768 1021901652 1362535536 2043803304 4087606608