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4800928 = 251123593
BaseRepresentation
bin10010010100000110100000
3100000220122011
4102110012200
52212112203
6250522304
755543606
oct22240640
910026564
104800928
11278a010
121736394
13cc12b2
148cd876
1564c76d
hex4941a0

4800928 has 48 divisors (see below), whose sum is σ = 10777536. Its totient is φ = 2083840.

The previous prime is 4800911. The next prime is 4800931. The reversal of 4800928 is 8290084.

It is a super-2 number, since 2×48009282 = 46097819322368, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4800928.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7800 + ... + 8392.

It is an arithmetic number, because the mean of its divisors is an integer number (224532).

Almost surely, 24800928 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 4800928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5388768).

4800928 is an abundant number, since it is smaller than the sum of its proper divisors (5976608).

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

4800928 is a wasteful number, since it uses less digits than its factorization.

4800928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 4800928 is about 2191.1020058409. The cubic root of 4800928 is about 168.6974032698.

The spelling of 4800928 in words is "four million, eight hundred thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 88 92 176 184 253 352 368 506 593 736 1012 1186 2024 2372 4048 4744 6523 8096 9488 13046 13639 18976 26092 27278 52184 54556 104368 109112 150029 208736 218224 300058 436448 600116 1200232 2400464 4800928