Search a number
-
+
4252003392 = 263713397613
BaseRepresentation
bin1111110101110000…
…0110110001000000
3101222022220011010010
43331130012301000
532202003102032
61541531104520
7210240301230
oct37534066100
911868804103
104252003392
11189216609a
129a7ba2140
13529bb5c50
142c49d1cc0
1519d452ccc
hexfd706c40

4252003392 has 224 divisors, whose sum is σ = 13903789312. Its totient is φ = 1116758016.

The previous prime is 4252003381. The next prime is 4252003409. The reversal of 4252003392 is 2933002524.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6936078 + ... + 6936690.

It is an arithmetic number, because the mean of its divisors is an integer number (62070488).

Almost surely, 24252003392 is an apocalyptic number.

4252003392 is a gapful number since it is divisible by the number (42) 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 4252003392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6951894656).

4252003392 is an abundant number, since it is smaller than the sum of its proper divisors (9651785920).

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

4252003392 is a wasteful number, since it uses less digits than its factorization.

4252003392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1045 (or 1035 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 4252003392 is about 65207.3875569325. The cubic root of 4252003392 is about 1620.0603787891.

The spelling of 4252003392 in words is "four billion, two hundred fifty-two million, three thousand, three hundred ninety-two".