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4998816 = 2532171021
BaseRepresentation
bin10011000100011010100000
3100101222002100
4103010122200
52234430231
6255050400
760326544
oct23043240
910358070
104998816
112904759
121810a00
1310603a4
14941a24
1568b1e6
hex4c46a0

4998816 has 72 divisors (see below), whose sum is σ = 15066324. Its totient is φ = 1566720.

The previous prime is 4998787. The next prime is 4998823. The reversal of 4998816 is 6188994.

It can be written as a sum of positive squares in 2 ways, for example, as 4822416 + 176400 = 2196^2 + 420^2 .

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

It is a super-2 number, since 2×49988162 = 49976322803712, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4386 + ... + 5406.

Almost surely, 24998816 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 4998816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7533162).

4998816 is an abundant number, since it is smaller than the sum of its proper divisors (10067508).

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

4998816 is a wasteful number, since it uses less digits than its factorization.

4998816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1054 (or 1043 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The square root of 4998816 is about 2235.8032113762. The cubic root of 4998816 is about 170.9840961920.

The spelling of 4998816 in words is "four million, nine hundred ninety-eight thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 306 408 544 612 816 1021 1224 1632 2042 2448 3063 4084 4896 6126 8168 9189 12252 16336 17357 18378 24504 32672 34714 36756 49008 52071 69428 73512 98016 104142 138856 147024 156213 208284 277712 294048 312426 416568 555424 624852 833136 1249704 1666272 2499408 4998816