Search a number
-
+
5000300376 = 2331913978889
BaseRepresentation
bin1001010100000101…
…01000011101011000
3110220110221120121020
410222002220131120
540220034103001
62144101442440
7234624565131
oct45202503530
913813846536
105000300376
1121365a2755
12b76710420
13618c35526
1435613cc88
151e3eb5736
hex12a0a8758

5000300376 has 64 divisors (see below), whose sum is σ = 13253520000. Its totient is φ = 1567662336.

The previous prime is 5000300323. The next prime is 5000300413. The reversal of 5000300376 is 6730030005.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23940 + ... + 102828.

It is an arithmetic number, because the mean of its divisors is an integer number (207086250).

Almost surely, 25000300376 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 5000300376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6626760000).

5000300376 is an abundant number, since it is smaller than the sum of its proper divisors (8253219624).

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

5000300376 is a wasteful number, since it uses less digits than its factorization.

5000300376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79056 (or 79052 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 24.

The square root of 5000300376 is about 70712.8020658212. The cubic root of 5000300376 is about 1710.0101883733.

The spelling of 5000300376 in words is "five billion, three hundred thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 139 152 228 278 417 456 556 834 1112 1668 2641 3336 5282 7923 10564 15846 21128 31692 63384 78889 157778 236667 315556 473334 631112 946668 1498891 1893336 2997782 4496673 5995564 8993346 10965571 11991128 17986692 21931142 32896713 35973384 43862284 65793426 87724568 131586852 208345849 263173704 416691698 625037547 833383396 1250075094 1666766792 2500150188 5000300376