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4976198464 = 266111292
BaseRepresentation
bin1001010001001101…
…01100001101000000
3110211210121001222211
410220212230031000
540142401322324
62141441111504
7234212663146
oct45046541500
913753531884
104976198464
112123a30616
12b6a628594
13613c47043
14352c67596
151e1d04294
hex1289ac340

4976198464 has 42 divisors (see below), whose sum is σ = 10045420854. Its totient is φ = 2445143040.

The previous prime is 4976198411. The next prime is 4976198467. The reversal of 4976198464 is 4648916794.

It can be written as a sum of positive squares in 3 ways, for example, as 751198464 + 4225000000 = 27408^2 + 65000^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4976198399 and 4976198408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4976198467) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4407052 + ... + 4408180.

It is an arithmetic number, because the mean of its divisors is an integer number (239176687).

Almost surely, 24976198464 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 4976198464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5022710427).

4976198464 is an abundant number, since it is smaller than the sum of its proper divisors (5069222390).

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

4976198464 is an frugal number, since it uses more digits than its factorization.

4976198464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2331 (or 1192 counting only the distinct ones).

The product of its digits is 10450944, while the sum is 58.

The square root of 4976198464 is about 70542.1750727889. The cubic root of 4976198464 is about 1707.2582928782.

It can be divided in two parts, 49761 and 98464, that added together give a square (148225 = 3852).

The spelling of 4976198464 in words is "four billion, nine hundred seventy-six million, one hundred ninety-eight thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 32 61 64 122 244 488 976 1129 1952 2258 3904 4516 9032 18064 36128 68869 72256 137738 275476 550952 1101904 1274641 2203808 2549282 4407616 5098564 10197128 20394256 40788512 77753101 81577024 155506202 311012404 622024808 1244049616 2488099232 4976198464