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4094219840 = 26531740361
BaseRepresentation
bin1111010000001000…
…1101011001000000
3101120022222220202212
43310002031121000
531341110013330
61514133201252
7203313202664
oct36402153100
911508886685
104094219840
111811097a67
12963190228
135032c02b9
142aba7c8a4
1518e687295
hexf408d640

4094219840 has 56 divisors (see below), whose sum is σ = 9780358392. Its totient is φ = 1632481280.

The previous prime is 4094219839. The next prime is 4094219849. The reversal of 4094219840 is 489124904.

It can be written as a sum of positive squares in 4 ways, for example, as 472105984 + 3622113856 = 21728^2 + 60184^2 .

It is not an unprimeable number, because it can be changed into a prime (4094219849) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 81260 + ... + 121620.

It is an arithmetic number, because the mean of its divisors is an integer number (174649257).

Almost surely, 24094219840 is an apocalyptic number.

4094219840 is a gapful number since it is divisible by the number (40) 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 4094219840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4890179196).

4094219840 is an abundant number, since it is smaller than the sum of its proper divisors (5686138552).

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

4094219840 is a wasteful number, since it uses less digits than its factorization.

4094219840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40695 (or 40685 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 41.

The square root of 4094219840 is about 63986.0909885891. The cubic root of 4094219840 is about 1599.7681747456.

The spelling of 4094219840 in words is "four billion, ninety-four million, two hundred nineteen thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 317 320 634 1268 1585 2536 3170 5072 6340 10144 12680 20288 25360 40361 50720 80722 101440 161444 201805 322888 403610 645776 807220 1291552 1614440 2583104 3228880 6457760 12794437 12915520 25588874 51177748 63972185 102355496 127944370 204710992 255888740 409421984 511777480 818843968 1023554960 2047109920 4094219840