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3425828864 = 21759443
BaseRepresentation
bin1100110000110010…
…0000000000000000
322211202022010201112
43030030200000000
524004003010424
61323535222452
7150616031153
oct31414400000
98752263645
103425828864
1114a8877a27
127b7377a28
1342799a393
14246db1c9a
15150b5a60e
hexcc320000

3425828864 has 72 divisors (see below), whose sum is σ = 6983489520. Its totient is φ = 1680080896.

The previous prime is 3425828849. The next prime is 3425828873. The reversal of 3425828864 is 4688285243.

It is a happy number.

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7733027 + ... + 7733469.

It is an arithmetic number, because the mean of its divisors is an integer number (96992910).

Almost surely, 23425828864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3425828864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3491744760).

3425828864 is an abundant number, since it is smaller than the sum of its proper divisors (3557660656).

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

3425828864 is an frugal number, since it uses more digits than its factorization.

3425828864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 504 counting only the distinct ones).

The product of its digits is 2949120, while the sum is 50.

The square root of 3425828864 is about 58530.5805882703. The cubic root of 3425828864 is about 1507.4927125947.

The spelling of 3425828864 in words is "three billion, four hundred twenty-five million, eight hundred twenty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 32 59 64 118 128 236 256 443 472 512 886 944 1024 1772 1888 2048 3544 3776 4096 7088 7552 8192 14176 15104 16384 26137 28352 30208 32768 52274 56704 60416 65536 104548 113408 120832 131072 209096 226816 241664 418192 453632 483328 836384 907264 966656 1672768 1814528 1933312 3345536 3629056 3866624 6691072 7258112 7733248 13382144 14516224 26764288 29032448 53528576 58064896 107057152 214114304 428228608 856457216 1712914432 3425828864