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3926416004 = 2274133110333
BaseRepresentation
bin1110101000001000…
…0101101010000100
3101010122020121011222
43222002011222010
531020130303004
61445340415512
7166204661660
oct35202055204
911118217158
103926416004
1117353a5505
12916b47598
134a75c97a4
1429367b8a0
1517ea8c7be
hexea085a84

3926416004 has 48 divisors (see below), whose sum is σ = 8069448576. Its totient is φ = 1636588800.

The previous prime is 3926416001. The next prime is 3926416007. The reversal of 3926416004 is 4006146293.

It is an interprime number because it is at equal distance from previous prime (3926416001) and next prime (3926416007).

It is not an unprimeable number, because it can be changed into a prime (3926416001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 374822 + ... + 385154.

It is an arithmetic number, because the mean of its divisors is an integer number (168113512).

Almost surely, 23926416004 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 3926416004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4034724288).

3926416004 is an abundant number, since it is smaller than the sum of its proper divisors (4143032572).

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

3926416004 is a wasteful number, since it uses less digits than its factorization.

3926416004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10716 (or 10714 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 35.

The square root of 3926416004 is about 62661.1203538526. The cubic root of 3926416004 is about 1577.6068031127.

The spelling of 3926416004 in words is "three billion, nine hundred twenty-six million, four hundred sixteen thousand, four".

Divisors: 1 2 4 7 14 28 41 82 164 287 331 574 662 1148 1324 2317 4634 9268 10333 13571 20666 27142 41332 54284 72331 94997 144662 189994 289324 379988 423653 847306 1694612 2965571 3420223 5931142 6840446 11862284 13680892 23941561 47883122 95766244 140229143 280458286 560916572 981604001 1963208002 3926416004