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4092674040 = 233557213661
BaseRepresentation
bin1111001111110001…
…0011111111111000
3101120020002101100000
43303330103333320
531340211032130
61514040113000
7203264104200
oct36374237770
911506071300
104092674040
111810231644
12962765760
13502b9b820
142ab799400
1518e47e260
hexf3f13ff8

4092674040 has 576 divisors, whose sum is σ = 17306321760. Its totient is φ = 862202880.

The previous prime is 4092674023. The next prime is 4092674041. The reversal of 4092674040 is 404762904.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4092673986 and 4092674004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4092674041) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6191310 + ... + 6191970.

Almost surely, 24092674040 is an apocalyptic number.

4092674040 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 4092674040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8653160880).

4092674040 is an abundant number, since it is smaller than the sum of its proper divisors (13213647720).

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

4092674040 is a wasteful number, since it uses less digits than its factorization.

4092674040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 714 (or 691 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 4092674040 is about 63974.0106605800. The cubic root of 4092674040 is about 1599.5668150215.

The spelling of 4092674040 in words is "four billion, ninety-two million, six hundred seventy-four thousand, forty".