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3828646305 = 335112234383
BaseRepresentation
bin1110010000110100…
…1000000110100001
3100212211021101101000
43210031020012201
530320113140210
61431525102213
7163606646061
oct34415100641
910784241330
103828646305
111695197700
128aa257969
134902871b3
142846ab3a1
151761c8ac0
hexe43481a1

3828646305 has 48 divisors (see below), whose sum is σ = 7481537280. Its totient is φ = 1856305440.

The previous prime is 3828646303. The next prime is 3828646307. The reversal of 3828646305 is 5036468283.

It is a happy number.

3828646305 is a `hidden beast` number, since 3 + 8 + 2 + 8 + 6 + 4 + 630 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (3828646303) and next prime (3828646307).

It is not a de Polignac number, because 3828646305 - 21 = 3828646303 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (3828646303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 100857 + ... + 133526.

It is an arithmetic number, because the mean of its divisors is an integer number (155865360).

Almost surely, 23828646305 is an apocalyptic number.

It is an amenable number.

3828646305 is a deficient number, since it is larger than the sum of its proper divisors (3652890975).

3828646305 is a wasteful number, since it uses less digits than its factorization.

3828646305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234419 (or 234402 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The square root of 3828646305 is about 61876.0559909890. The cubic root of 3828646305 is about 1564.4021921685.

The spelling of 3828646305 in words is "three billion, eight hundred twenty-eight million, six hundred forty-six thousand, three hundred five".

Divisors: 1 3 5 9 11 15 27 33 45 55 99 121 135 165 297 363 495 605 1089 1485 1815 3267 5445 16335 234383 703149 1171915 2109447 2578213 3515745 6328341 7734639 10547235 12891065 23203917 28360343 31641705 38673195 69611751 85081029 116019585 141801715 255243087 348058755 425405145 765729261 1276215435 3828646305