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4963328 = 21037131
BaseRepresentation
bin10010111011110000000000
3100100011101222
4102323300000
52232311303
6254214212
760121226
oct22736000
910304358
104963328
112890027
1217b4368
13104a1a6
14932b16
15680938
hex4bbc00

4963328 has 44 divisors (see below), whose sum is σ = 10267752. Its totient is φ = 2396160.

The previous prime is 4963327. The next prime is 4963349. The reversal of 4963328 is 8233694.

It is a happy number.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4963327) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 37823 + ... + 37953.

It is an arithmetic number, because the mean of its divisors is an integer number (233358).

Almost surely, 24963328 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 4963328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5133876).

4963328 is an abundant number, since it is smaller than the sum of its proper divisors (5304424).

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

4963328 is a wasteful number, since it uses less digits than its factorization.

4963328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 170 counting only the distinct ones).

The product of its digits is 31104, while the sum is 35.

The square root of 4963328 is about 2227.8527779007. The cubic root of 4963328 is about 170.5785135025.

The spelling of 4963328 in words is "four million, nine hundred sixty-three thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 32 37 64 74 128 131 148 256 262 296 512 524 592 1024 1048 1184 2096 2368 4192 4736 4847 8384 9472 9694 16768 18944 19388 33536 37888 38776 67072 77552 134144 155104 310208 620416 1240832 2481664 4963328