Search a number
-
+
4203993024 = 2632721121231
BaseRepresentation
bin1111101010010011…
…1101011111000000
3101211222112222021100
43322210331133000
532102210234044
61533054054400
7206115231300
oct37244753700
911758488240
104203993024
111868054200
12993aaa400
1351cc7634a
142bc495600
1519911c869
hexfa93d7c0

4203993024 has 378 divisors, whose sum is σ = 15419996592. Its totient is φ = 1091059200.

The previous prime is 4203992977. The next prime is 4203993041.

4203993024 is nontrivially palindromic in base 10.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4203993024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 3414489 + ... + 3415719.

Almost surely, 24203993024 is an apocalyptic number.

4203993024 is a gapful number since it is divisible by the number (44) 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 4203993024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7709998296).

4203993024 is an abundant number, since it is smaller than the sum of its proper divisors (11216003568).

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

4203993024 is a wasteful number, since it uses less digits than its factorization.

4203993024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1285 (or 1254 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 4203993024 is about 64838.2065143693. The cubic root of 4203993024 is about 1613.9397903678.

The spelling of 4203993024 in words is "four billion, two hundred three million, nine hundred ninety-three thousand, twenty-four".