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4963224 = 233731953
BaseRepresentation
bin10010111011101110011000
3100100011021010
4102323232120
52232310344
6254213520
760121020
oct22735630
910304233
104963224
11288aa42
1217b42a0
13104a126
14932a80
156808b9
hex4bbb98

4963224 has 64 divisors (see below), whose sum is σ = 14653440. Its totient is φ = 1370880.

The previous prime is 4963213. The next prime is 4963243. The reversal of 4963224 is 4223694.

4963224 = T96 + T97 + ... + T312.

It is a d-powerful number, because it can be written as 42 + 9 + 6 + 314 + 215 + 217 + 47 .

It is a junction number, because it is equal to n+sod(n) for n = 4963191 and 4963200.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 4732 + ... + 5684.

It is an arithmetic number, because the mean of its divisors is an integer number (228960).

Almost surely, 24963224 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 4963224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7326720).

4963224 is an abundant number, since it is smaller than the sum of its proper divisors (9690216).

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

4963224 is a wasteful number, since it uses less digits than its factorization.

4963224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000 (or 996 counting only the distinct ones).

The product of its digits is 10368, while the sum is 30.

The square root of 4963224 is about 2227.8294369184. The cubic root of 4963224 is about 170.5773220782.

The spelling of 4963224 in words is "four million, nine hundred sixty-three thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 56 62 84 93 124 168 186 217 248 372 434 651 744 868 953 1302 1736 1906 2604 2859 3812 5208 5718 6671 7624 11436 13342 20013 22872 26684 29543 40026 53368 59086 80052 88629 118172 160104 177258 206801 236344 354516 413602 620403 709032 827204 1240806 1654408 2481612 4963224