Search a number
-
+
3964048650 = 2325237238081
BaseRepresentation
bin1110110001000110…
…1001010100001010
3101020021001112110200
43230101221110022
531104244024100
61453203153030
7200142600102
oct35421512412
911207045420
103964048650
111754669471
12927675776
134b2344923
14298676202
15183022e00
hexec46950a

3964048650 has 72 divisors (see below), whose sum is σ = 10937963244. Its totient is φ = 1028505600.

The previous prime is 3964048631. The next prime is 3964048681. The reversal of 3964048650 is 568404693.

It can be written as a sum of positive squares in 6 ways, for example, as 1699335729 + 2264712921 = 41223^2 + 47589^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 3964048596 and 3964048605.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 102391 + ... + 135690.

Almost surely, 23964048650 is an apocalyptic number.

3964048650 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3964048650 is an abundant number, since it is smaller than the sum of its proper divisors (6973914594).

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

3964048650 is a wasteful number, since it uses less digits than its factorization.

3964048650 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238136 (or 238128 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 3964048650 is about 62960.6913081488. The cubic root of 3964048650 is about 1582.6309648057.

The spelling of 3964048650 in words is "three billion, nine hundred sixty-four million, forty-eight thousand, six hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 37 45 50 74 75 90 111 150 185 222 225 333 370 450 555 666 925 1110 1665 1850 2775 3330 5550 8325 16650 238081 476162 714243 1190405 1428486 2142729 2380810 3571215 4285458 5952025 7142430 8808997 10713645 11904050 17617994 17856075 21427290 26426991 35712150 44044985 52853982 53568225 79280973 88089970 107136450 132134955 158561946 220224925 264269910 396404865 440449850 660674775 792809730 1321349550 1982024325 3964048650