Search a number
-
+
699828480 = 28325134673
BaseRepresentation
bin101001101101101…
…000100100000000
31210202211222012100
4221231220210000
52413124002410
6153235430400
723225305161
oct5155504400
91722758170
10699828480
1132a04254a
12176455400
13b1cac2c0
1468d31768
154168b8c0
hex29b68900

699828480 has 216 divisors, whose sum is σ = 2608148088. Its totient is φ = 172228608.

The previous prime is 699828473. The next prime is 699828487. The reversal of 699828480 is 84828996.

It is an interprime number because it is at equal distance from previous prime (699828473) and next prime (699828487).

It can be written as a sum of positive squares in 4 ways, for example, as 114575616 + 585252864 = 10704^2 + 24192^2 .

It is a super-2 number, since 2×6998284802 = 979519802838220800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (699828487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 147424 + ... + 152096.

Almost surely, 2699828480 is an apocalyptic number.

699828480 is a gapful number since it is divisible by the number (60) 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 699828480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1304074044).

699828480 is an abundant number, since it is smaller than the sum of its proper divisors (1908319608).

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

699828480 is a wasteful number, since it uses less digits than its factorization.

699828480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4713 (or 4696 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The square root of 699828480 is about 26454.2714887407. The cubic root of 699828480 is about 887.8314752022.

The spelling of 699828480 in words is "six hundred ninety-nine million, eight hundred twenty-eight thousand, four hundred eighty".