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4249920 = 263519233
BaseRepresentation
bin10000001101100101000000
321222220210110
4100031211000
52041444140
6231031320
751060303
oct20154500
97886713
104249920
112443034
12150b540
13b5a55c
147c8b3a
1558e380
hex40d940

4249920 has 112 divisors (see below), whose sum is σ = 14264640. Its totient is φ = 1069056.

The previous prime is 4249913. The next prime is 4249943. The reversal of 4249920 is 299424.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 18124 + ... + 18356.

Almost surely, 24249920 is an apocalyptic number.

4249920 is a gapful number since it is divisible by the number (40) 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 4249920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7132320).

4249920 is an abundant number, since it is smaller than the sum of its proper divisors (10014720).

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

4249920 is a wasteful number, since it uses less digits than its factorization.

4249920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 4249920 is about 2061.5334098675. The cubic root of 4249920 is about 161.9795737087.

The spelling of 4249920 in words is "four million, two hundred forty-nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 64 76 80 95 96 114 120 152 160 190 192 228 233 240 285 304 320 380 456 466 480 570 608 699 760 912 932 960 1140 1165 1216 1398 1520 1824 1864 2280 2330 2796 3040 3495 3648 3728 4427 4560 4660 5592 6080 6990 7456 8854 9120 9320 11184 13281 13980 14912 17708 18240 18640 22135 22368 26562 27960 35416 37280 44270 44736 53124 55920 66405 70832 74560 88540 106248 111840 132810 141664 177080 212496 223680 265620 283328 354160 424992 531240 708320 849984 1062480 1416640 2124960 4249920