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3922804672 = 261734910331
BaseRepresentation
bin1110100111010001…
…0011111111000000
3101010101110010100221
43221310103333000
531013214222142
61445131152424
7166132201213
oct35164237700
911111403327
103922804672
111733359236
129158a5714
134a6933ac7
14292dbb77a
1517e5c7767
hexe9d13fc0

3922804672 has 56 divisors (see below), whose sum is σ = 8266633200. Its totient is φ = 1840558080.

The previous prime is 3922804667. The next prime is 3922804687. The reversal of 3922804672 is 2764082293.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 374547 + ... + 384877.

It is an arithmetic number, because the mean of its divisors is an integer number (147618450).

Almost surely, 23922804672 is an apocalyptic number.

3922804672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3922804672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4133316600).

3922804672 is an abundant number, since it is smaller than the sum of its proper divisors (4343828528).

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

3922804672 is a wasteful number, since it uses less digits than its factorization.

3922804672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10709 (or 10699 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 43.

The square root of 3922804672 is about 62632.2973552783. The cubic root of 3922804672 is about 1577.1229853419.

The spelling of 3922804672 in words is "three billion, nine hundred twenty-two million, eight hundred four thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 349 544 698 1088 1396 2792 5584 5933 10331 11168 11866 20662 22336 23732 41324 47464 82648 94928 165296 175627 189856 330592 351254 379712 661184 702508 1405016 2810032 3605519 5620064 7211038 11240128 14422076 28844152 57688304 61293823 115376608 122587646 230753216 245175292 490350584 980701168 1961402336 3922804672