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3946782690 = 2325281156061
BaseRepresentation
bin1110101100111111…
…0001111111100010
3101012001120100000200
43223033301333202
531040334021230
61451345130030
7166543046034
oct35317617742
911161510020
103946782690
111745946284
12921929916
134ab8aaa96
1429625dc54
15181762160
hexeb3f1fe2

3946782690 has 48 divisors (see below), whose sum is σ = 10298219256. Its totient is φ = 1048723200.

The previous prime is 3946782677. The next prime is 3946782691. The reversal of 3946782690 is 962876493.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3946729329 + 53361 = 62823^2 + 231^2 .

It is a super-2 number, since 2×39467826902 = 31154187204167272200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3946782691) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52741 + ... + 103320.

Almost surely, 23946782690 is an apocalyptic number.

3946782690 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3946782690 is an abundant number, since it is smaller than the sum of its proper divisors (6351436566).

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

3946782690 is a wasteful number, since it uses less digits than its factorization.

3946782690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156355 (or 156352 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The square root of 3946782690 is about 62823.4246917501. The cubic root of 3946782690 is about 1580.3298315314.

The spelling of 3946782690 in words is "three billion, nine hundred forty-six million, seven hundred eighty-two thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 281 562 843 1405 1686 2529 2810 4215 5058 8430 12645 25290 156061 312122 468183 780305 936366 1404549 1560610 2340915 2809098 4681830 7022745 14045490 43853141 87706282 131559423 219265705 263118846 394678269 438531410 657797115 789356538 1315594230 1973391345 3946782690