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3681828832 = 251131337411
BaseRepresentation
bin1101101101110100…
…0011111111100000
3100111121000021122211
43123131003333200
530020022010312
61405202211504
7160145012563
oct33335037740
910447007584
103681828832
11161a329550
12869053b94
13468a30a56
1426cdb04da
151683773a7
hexdb743fe0

3681828832 has 48 divisors (see below), whose sum is σ = 8162671104. Its totient is φ = 1619568000.

The previous prime is 3681828827. The next prime is 3681828859. The reversal of 3681828832 is 2388281863.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 157794 + ... + 179617.

It is an arithmetic number, because the mean of its divisors is an integer number (170055648).

Almost surely, 23681828832 is an apocalyptic number.

3681828832 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3681828832 is an abundant number, since it is smaller than the sum of its proper divisors (4480842272).

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

3681828832 is a wasteful number, since it uses less digits than its factorization.

3681828832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337463 (or 337455 counting only the distinct ones).

The product of its digits is 884736, while the sum is 49.

The square root of 3681828832 is about 60678.0753814753. The cubic root of 3681828832 is about 1544.1442364829.

The spelling of 3681828832 in words is "three billion, six hundred eighty-one million, eight hundred twenty-eight thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 88 124 176 248 341 352 496 682 992 1364 2728 5456 10912 337411 674822 1349644 2699288 3711521 5398576 7423042 10459741 10797152 14846084 20919482 29692168 41838964 59384336 83677928 115057151 118768672 167355856 230114302 334711712 460228604 920457208 1840914416 3681828832