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4427807040 = 263256832251
BaseRepresentation
bin1000001111110101…
…01111100101000000
3102102120200220101100
410013322233211000
533032004311130
62011211134400
7214503511266
oct40772574500
912376626340
104427807040
111972421a68
12a36a44400
1355744aa87
143000b6436
151adaccc60
hex107eaf940

4427807040 has 168 divisors, whose sum is σ = 15258885408. Its totient is φ = 1178496000.

The previous prime is 4427807017. The next prime is 4427807107. The reversal of 4427807040 is 407087244.

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 = 4427806986 and 4427807004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1965915 + ... + 1968165.

Almost surely, 24427807040 is an apocalyptic number.

4427807040 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 4427807040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7629442704).

4427807040 is an abundant number, since it is smaller than the sum of its proper divisors (10831078368).

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

4427807040 is a wasteful number, since it uses less digits than its factorization.

4427807040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2957 (or 2944 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

The square root of 4427807040 is about 66541.7691378881. The cubic root of 4427807040 is about 1642.0872492055.

The spelling of 4427807040 in words is "four billion, four hundred twenty-seven million, eight hundred seven thousand, forty".