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4828032 = 273311127
BaseRepresentation
bin10010011010101110000000
3100002021211000
4102122232000
52213444112
6251252000
756015616
oct22325600
910067730
104828032
1127a8410
12174a000
131000731
148d96b6
156557dc
hex49ab80

4828032 has 128 divisors (see below), whose sum is σ = 15667200. Its totient is φ = 1451520.

The previous prime is 4828009. The next prime is 4828049. The reversal of 4828032 is 2308284.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 4827987 and 4828005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37953 + ... + 38079.

It is an arithmetic number, because the mean of its divisors is an integer number (122400).

Almost surely, 24828032 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 4828032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7833600).

4828032 is an abundant number, since it is smaller than the sum of its proper divisors (10839168).

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

4828032 is a wasteful number, since it uses less digits than its factorization.

4828032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 4828032 is about 2197.2783164633. The cubic root of 4828032 is about 169.0142723378.

The spelling of 4828032 in words is "four million, eight hundred twenty-eight thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 127 128 132 144 176 192 198 216 254 264 288 297 352 381 384 396 432 508 528 576 594 704 762 792 864 1016 1056 1143 1152 1188 1397 1408 1524 1584 1728 2032 2112 2286 2376 2794 3048 3168 3429 3456 4064 4191 4224 4572 4752 5588 6096 6336 6858 8128 8382 9144 9504 11176 12192 12573 12672 13716 16256 16764 18288 19008 22352 24384 25146 27432 33528 36576 37719 38016 44704 48768 50292 54864 67056 73152 75438 89408 100584 109728 134112 146304 150876 178816 201168 219456 268224 301752 402336 438912 536448 603504 804672 1207008 1609344 2414016 4828032