Search a number
-
+
5300152208 = 2413891911499
BaseRepresentation
bin1001110111110100…
…11110011110010000
3111200101011121222122
410323322132132100
541323314332313
62233532353412
7245225356541
oct47372363620
914611147878
105300152208
11227a88588a
12103b015868
136660b0a50
14383cb44c8
15210495708
hex13be9e790

5300152208 has 80 divisors (see below), whose sum is σ = 11249280000. Its totient is φ = 2404469760.

The previous prime is 5300152189. The next prime is 5300152241. The reversal of 5300152208 is 8022510035.

It is a super-2 number, since 2×53001522082 = 56183226855934550528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3535043 + ... + 3536541.

It is an arithmetic number, because the mean of its divisors is an integer number (140616000).

Almost surely, 25300152208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5300152208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5624640000).

5300152208 is an abundant number, since it is smaller than the sum of its proper divisors (5949127792).

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

5300152208 is a wasteful number, since it uses less digits than its factorization.

5300152208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1800 (or 1794 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The square root of 5300152208 is about 72802.1442541358. The cubic root of 5300152208 is about 1743.5300914631.

The spelling of 5300152208 in words is "five billion, three hundred million, one hundred fifty-two thousand, two hundred eight".

Divisors: 1 2 4 8 13 16 26 52 89 104 178 191 208 356 382 712 764 1157 1424 1499 1528 2314 2483 2998 3056 4628 4966 5996 9256 9932 11992 16999 18512 19487 19864 23984 33998 38974 39728 67996 77948 133411 135992 155896 220987 266822 271984 286309 311792 441974 533644 572618 883948 1067288 1145236 1734343 1767896 2134576 2290472 3468686 3535792 3722017 4580944 6937372 7444034 13874744 14888068 25481501 27749488 29776136 50963002 59552272 101926004 203852008 331259513 407704016 662519026 1325038052 2650076104 5300152208