Search a number
-
+
4253200000 = 27557331
BaseRepresentation
bin1111110110000010…
…1010111010000000
3101222102010221112221
43331200222322000
532202304400000
61542012500424
7210253414000
oct37540527200
911872127487
104253200000
111892903125
129a847a714
1352a2147ba
142c4c24000
1519d5dc61a
hexfd82ae80

4253200000 has 384 divisors, whose sum is σ = 12749184000. Its totient is φ = 1411200000.

The previous prime is 4253199971. The next prime is 4253200009. The reversal of 4253200000 is 23524.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4253200009) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 137199985 + ... + 137200015.

It is an arithmetic number, because the mean of its divisors is an integer number (33201000).

Almost surely, 24253200000 is an apocalyptic number.

4253200000 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 4253200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6374592000).

4253200000 is an abundant number, since it is smaller than the sum of its proper divisors (8495984000).

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

4253200000 is an frugal number, since it uses more digits than its factorization.

4253200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 16.

The square root of 4253200000 is about 65216.5623135718. The cubic root of 4253200000 is about 1620.2123381681.

Adding to 4253200000 its reverse (23524), we get a palindrome (4253223524).

The spelling of 4253200000 in words is "four billion, two hundred fifty-three million, two hundred thousand".