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3904193616 = 243178953759
BaseRepresentation
bin1110100010110101…
…0100010001010000
3101002002102120210120
43220231110101100
530443433143431
61443224230240
7165515045451
oct35055242120
911062376716
103904193616
1117238a74a4
1290b60b380
134a2b1894b
14290735128
1517cb4d196
hexe8b54450

3904193616 has 80 divisors (see below), whose sum is σ = 10799308800. Its totient is φ = 1211060224.

The previous prime is 3904193567. The next prime is 3904193641. The reversal of 3904193616 is 6163914093.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 45745 + ... + 99503.

It is an arithmetic number, because the mean of its divisors is an integer number (134991360).

Almost surely, 23904193616 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 3904193616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5399654400).

3904193616 is an abundant number, since it is smaller than the sum of its proper divisors (6895115184).

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

3904193616 is a wasteful number, since it uses less digits than its factorization.

3904193616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53876 (or 53870 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 42.

The square root of 3904193616 is about 62483.5467623278. The cubic root of 3904193616 is about 1574.6249031671.

The spelling of 3904193616 in words is "three billion, nine hundred four million, one hundred ninety-three thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 89 102 136 178 204 267 272 356 408 534 712 816 1068 1424 1513 2136 3026 4272 4539 6052 9078 12104 18156 24208 36312 53759 72624 107518 161277 215036 322554 430072 645108 860144 913903 1290216 1827806 2580432 2741709 3655612 4784551 5483418 7311224 9569102 10966836 14353653 14622448 19138204 21933672 28707306 38276408 43867344 57414612 76552816 81337367 114829224 162674734 229658448 244012101 325349468 488024202 650698936 976048404 1301397872 1952096808 3904193616