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4928220 = 223251119131
BaseRepresentation
bin10010110011001011011100
3100021101020200
4102303023130
52230200340
6253343500
756613663
oct22631334
910241220
104928220
112866710
121797b90
13103720b
14923dda
15675330
hex4b32dc

4928220 has 144 divisors (see below), whose sum is σ = 17297280. Its totient is φ = 1123200.

The previous prime is 4928219. The next prime is 4928221. The reversal of 4928220 is 228294.

It is an interprime number because it is at equal distance from previous prime (4928219) and next prime (4928221).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4928221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37555 + ... + 37685.

It is an arithmetic number, because the mean of its divisors is an integer number (120120).

Almost surely, 24928220 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 4928220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8648640).

4928220 is an abundant number, since it is smaller than the sum of its proper divisors (12369060).

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

4928220 is a wasteful number, since it uses less digits than its factorization.

4928220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 4928220 is about 2219.9594590893. The cubic root of 4928220 is about 170.1753669008.

The spelling of 4928220 in words is "four million, nine hundred twenty-eight thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 19 20 22 30 33 36 38 44 45 55 57 60 66 76 90 95 99 110 114 131 132 165 171 180 190 198 209 220 228 262 285 330 342 380 393 396 418 495 524 570 627 655 660 684 786 836 855 990 1045 1140 1179 1254 1310 1441 1572 1710 1881 1965 1980 2090 2358 2489 2508 2620 2882 3135 3420 3762 3930 4180 4323 4716 4978 5764 5895 6270 7205 7467 7524 7860 8646 9405 9956 11790 12445 12540 12969 14410 14934 17292 18810 21615 22401 23580 24890 25938 27379 28820 29868 37335 37620 43230 44802 49780 51876 54758 64845 74670 82137 86460 89604 109516 112005 129690 136895 149340 164274 224010 246411 259380 273790 328548 410685 448020 492822 547580 821370 985644 1232055 1642740 2464110 4928220