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4649117952 = 28349112329
BaseRepresentation
bin1000101010001101…
…11110100100000000
3110000000010122212210
410111012332210000
534010133233302
62045154422120
7223131564513
oct42506764400
913000118783
104649117952
111a76340146
12a98b91940
1359125708b
14321644d7a
151c324666c
hex1151be900

4649117952 has 72 divisors (see below), whose sum is σ = 12399639840. Its totient is φ = 1546424320.

The previous prime is 4649117951. The next prime is 4649117953. The reversal of 4649117952 is 2597119464.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4649117951) and next prime (4649117953).

It is a super-2 number, since 2×46491179522 = 43228595463217348608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (4649117951) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 370924 + ... + 383252.

It is an arithmetic number, because the mean of its divisors is an integer number (172217220).

Almost surely, 24649117952 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 4649117952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6199819920).

4649117952 is an abundant number, since it is smaller than the sum of its proper divisors (7750521888).

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

4649117952 is a wasteful number, since it uses less digits than its factorization.

4649117952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12839 (or 12825 counting only the distinct ones).

The product of its digits is 544320, while the sum is 48.

The square root of 4649117952 is about 68184.4406884738. The cubic root of 4649117952 is about 1669.0019915773.

The spelling of 4649117952 in words is "four billion, six hundred forty-nine million, one hundred seventeen thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 491 768 982 1473 1964 2946 3928 5892 7856 11784 12329 15712 23568 24658 31424 36987 47136 49316 62848 73974 94272 98632 125696 147948 188544 197264 295896 377088 394528 591792 789056 1183584 1578112 2367168 3156224 4734336 6053539 9468672 12107078 18160617 24214156 36321234 48428312 72642468 96856624 145284936 193713248 290569872 387426496 581139744 774852992 1162279488 1549705984 2324558976 4649117952