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4412928 = 29313217
BaseRepresentation
bin10000110101011000000000
322022012101210
4100311120000
52112203203
6234330120
752336452
oct20653000
98265353
104412928
112544553
121589940
13bb6800
1482c2d2
155c2803
hex435600

4412928 has 120 divisors (see below), whose sum is σ = 13479048. Its totient is φ = 1277952.

The previous prime is 4412927. The next prime is 4412977. The reversal of 4412928 is 8292144.

Its product of digits (4608) is a multiple of the sum of its prime factors (64).

It is a junction number, because it is equal to n+sod(n) for n = 4412895 and 4412904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4412927) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 259576 + ... + 259592.

Almost surely, 24412928 is an apocalyptic number.

4412928 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4412928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6739524).

4412928 is an abundant number, since it is smaller than the sum of its proper divisors (9066120).

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

4412928 is a wasteful number, since it uses less digits than its factorization.

4412928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 35 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 4412928 is about 2100.6970271793. The cubic root of 4412928 is about 164.0245848529.

The spelling of 4412928 in words is "four million, four hundred twelve thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 32 34 39 48 51 52 64 68 78 96 102 104 128 136 156 169 192 204 208 221 256 272 312 338 384 408 416 442 507 512 544 624 663 676 768 816 832 884 1014 1088 1248 1326 1352 1536 1632 1664 1768 2028 2176 2496 2652 2704 2873 3264 3328 3536 4056 4352 4992 5304 5408 5746 6528 6656 7072 8112 8619 8704 9984 10608 10816 11492 13056 14144 16224 17238 19968 21216 21632 22984 26112 28288 32448 34476 42432 43264 45968 56576 64896 68952 84864 86528 91936 113152 129792 137904 169728 183872 259584 275808 339456 367744 551616 735488 1103232 1470976 2206464 4412928