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2482818968 = 237436771523
BaseRepresentation
bin1001001111111100…
…1100111110011000
320102000212021100002
42103333030332120
520041100201333
61050211232132
7115345420160
oct22377147630
96360767302
102482818968
111064539703
125935a8648
133074c5166
14197a5b5a0
15e7e850e8
hex93fccf98

2482818968 has 64 divisors (see below), whose sum is σ = 5455676160. Its totient is φ = 1037102976.

The previous prime is 2482818967. The next prime is 2482818979. The reversal of 2482818968 is 8698182842.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2482818967) by changing a digit.

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, 1629455 + ... + 1630977.

It is an arithmetic number, because the mean of its divisors is an integer number (85244940).

Almost surely, 22482818968 is an apocalyptic number.

2482818968 is a gapful number since it is divisible by the number (28) 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 2482818968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2727838080).

2482818968 is an abundant number, since it is smaller than the sum of its proper divisors (2972857192).

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

2482818968 is a wasteful number, since it uses less digits than its factorization.

2482818968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2256 (or 2252 counting only the distinct ones).

The product of its digits is 3538944, while the sum is 56.

The square root of 2482818968 is about 49827.8934734351. The cubic root of 2482818968 is about 1354.0925589114.

The spelling of 2482818968 in words is "two billion, four hundred eighty-two million, eight hundred eighteen thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 14 28 43 56 86 172 301 344 602 677 1204 1354 1523 2408 2708 3046 4739 5416 6092 9478 10661 12184 18956 21322 29111 37912 42644 58222 65489 85288 116444 130978 203777 232888 261956 407554 458423 523912 815108 916846 1031071 1630216 1833692 2062142 3667384 4124284 7217497 8248568 14434994 28869988 44336053 57739976 88672106 177344212 310352371 354688424 620704742 1241409484 2482818968