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4694881248 = 253271229601
BaseRepresentation
bin1000101111101011…
…00011001111100000
3110010012020200022200
410113311203033200
534103342144443
62053511333200
7224225555301
oct42765431740
913105220280
104694881248
111a9a157852
12ab0381200
1359a88ac55
143277587a8
151c7285dd3
hex117d633e0

4694881248 has 72 divisors (see below), whose sum is σ = 13539170736. Its totient is φ = 1542912000.

The previous prime is 4694881241. The next prime is 4694881309. The reversal of 4694881248 is 8421884964.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×46948812483 (a number of 30 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 4694881194 and 4694881203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4694881241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 94353 + ... + 135248.

It is an arithmetic number, because the mean of its divisors is an integer number (188044038).

Almost surely, 24694881248 is an apocalyptic number.

4694881248 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4694881248 is an abundant number, since it is smaller than the sum of its proper divisors (8844289488).

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

4694881248 is a wasteful number, since it uses less digits than its factorization.

4694881248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229688 (or 229677 counting only the distinct ones).

The product of its digits is 3538944, while the sum is 54.

The square root of 4694881248 is about 68519.2034979976. The cubic root of 4694881248 is about 1674.4603590781.

The spelling of 4694881248 in words is "four billion, six hundred ninety-four million, eight hundred eighty-one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 71 72 96 142 144 213 284 288 426 568 639 852 1136 1278 1704 2272 2556 3408 5112 6816 10224 20448 229601 459202 688803 918404 1377606 1836808 2066409 2755212 3673616 4132818 5510424 7347232 8265636 11020848 16301671 16531272 22041696 32603342 33062544 48905013 65206684 66125088 97810026 130413368 146715039 195620052 260826736 293430078 391240104 521653472 586860156 782480208 1173720312 1564960416 2347440624 4694881248