Search a number
-
+
5301354400 = 25526626693
BaseRepresentation
bin1001110111111110…
…00011111110100000
3111200110102201002021
410323333003332200
541324121320100
62234014231224
7245241524506
oct47377037640
914613381067
105301354400
112280527031
12103b4b5514
13666411cc4
14384108676
15210631a1a
hex13bfc3fa0

5301354400 has 36 divisors (see below), whose sum is σ = 12941933382. Its totient is φ = 2120541440.

The previous prime is 5301354371. The next prime is 5301354403. The reversal of 5301354400 is 44531035.

It can be written as a sum of positive squares in 3 ways, for example, as 3392363536 + 1908990864 = 58244^2 + 43692^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (5301354403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3312547 + ... + 3314146.

Almost surely, 25301354400 is an apocalyptic number.

5301354400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5301354400 is an abundant number, since it is smaller than the sum of its proper divisors (7640578982).

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

5301354400 is a wasteful number, since it uses less digits than its factorization.

5301354400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6626713 (or 6626700 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

The square root of 5301354400 is about 72810.4003559931. The cubic root of 5301354400 is about 1743.6619052543.

Adding to 5301354400 its reverse (44531035), we get a palindrome (5345885435).

The spelling of 5301354400 in words is "five billion, three hundred one million, three hundred fifty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 6626693 13253386 26506772 33133465 53013544 66266930 106027088 132533860 165667325 212054176 265067720 331334650 530135440 662669300 1060270880 1325338600 2650677200 5301354400