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4204928 = 27713192
BaseRepresentation
bin10000000010100110000000
321220122002002
4100002212000
52034024203
6230043132
750512160
oct20024600
97818062
104204928
112412252
1214a94a8
13b42c30
147b65a0
15580d88
hex402980

4204928 has 96 divisors (see below), whose sum is σ = 10881360. Its totient is φ = 1575936.

The previous prime is 4204903. The next prime is 4204943. The reversal of 4204928 is 8294024.

It is a self number, because there is not a number n which added to its sum of digits gives 4204928.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 221303 + ... + 221321.

Almost surely, 24204928 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 4204928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5440680).

4204928 is an abundant number, since it is smaller than the sum of its proper divisors (6676432).

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

4204928 is a wasteful number, since it uses less digits than its factorization.

4204928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 4204928 is about 2050.5921096113. The cubic root of 4204928 is about 161.4059429253.

The spelling of 4204928 in words is "four million, two hundred four thousand, nine hundred twenty-eight".

Divisors: 1 2 4 7 8 13 14 16 19 26 28 32 38 52 56 64 76 91 104 112 128 133 152 182 208 224 247 266 304 361 364 416 448 494 532 608 722 728 832 896 988 1064 1216 1444 1456 1664 1729 1976 2128 2432 2527 2888 2912 3458 3952 4256 4693 5054 5776 5824 6916 7904 8512 9386 10108 11552 11648 13832 15808 17024 18772 20216 23104 27664 31616 32851 37544 40432 46208 55328 65702 75088 80864 110656 131404 150176 161728 221312 262808 300352 323456 525616 600704 1051232 2102464 4204928