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3894359104 = 26972932141
BaseRepresentation
bin1110100000011111…
…0011010001000000
3101001101220221101101
43220013303101000
530433423442404
61442233344144
7165335335426
oct35007632100
911041827341
103894359104
11171929a6a9
12908268054
134a0a844cc
1428d2d5116
1517bd592a4
hexe81f3440

3894359104 has 56 divisors (see below), whose sum is σ = 7837843608. Its totient is φ = 1919631360.

The previous prime is 3894359101. The next prime is 3894359137. The reversal of 3894359104 is 4019534983.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2492006400 + 1402352704 = 49920^2 + 37448^2 .

It is not an unprimeable number, because it can be changed into a prime (3894359101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1817874 + ... + 1820014.

It is an arithmetic number, because the mean of its divisors is an integer number (139961493).

Almost surely, 23894359104 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 3894359104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3918921804).

3894359104 is an abundant number, since it is smaller than the sum of its proper divisors (3943484504).

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

3894359104 is a wasteful number, since it uses less digits than its factorization.

3894359104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2543 (or 2533 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 46.

The square root of 3894359104 is about 62404.8003281799. The cubic root of 3894359104 is about 1573.3016518246.

The spelling of 3894359104 in words is "three billion, eight hundred ninety-four million, three hundred fifty-nine thousand, one hundred four".

Divisors: 1 2 4 8 16 32 64 97 194 293 388 586 776 1172 1552 2141 2344 3104 4282 4688 6208 8564 9376 17128 18752 28421 34256 56842 68512 113684 137024 207677 227368 415354 454736 627313 830708 909472 1254626 1661416 1818944 2509252 3322832 5018504 6645664 10037008 13291328 20074016 40148032 60849361 121698722 243397444 486794888 973589776 1947179552 3894359104