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4248640 = 265111771
BaseRepresentation
bin10000001101010001000000
321222212001001
4100031101000
52041424030
6231021344
751053464
oct20152100
97885031
104248640
112442080
12150a854
13b59ab6
147c84a4
1558dcca
hex40d440

4248640 has 112 divisors (see below), whose sum is σ = 11850624. Its totient is φ = 1433600.

The previous prime is 4248631. The next prime is 4248661. The reversal of 4248640 is 468424.

It is an Ulam number.

It is a d-powerful number, because it can be written as 45 + 211 + 46 + 83 + 66 + 411 + 0 .

It is a junction number, because it is equal to n+sod(n) for n = 4248599 and 4248608.

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, 59805 + ... + 59875.

Almost surely, 24248640 is an apocalyptic number.

4248640 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 4248640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5925312).

4248640 is an abundant number, since it is smaller than the sum of its proper divisors (7601984).

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

4248640 is a wasteful number, since it uses less digits than its factorization.

4248640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

The square root of 4248640 is about 2061.2229379667. Note that the first 3 decimals coincide. The cubic root of 4248640 is about 161.9633102910.

The spelling of 4248640 in words is "four million, two hundred forty-eight thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 32 34 40 44 55 64 68 71 80 85 88 110 136 142 160 170 176 187 220 272 284 320 340 352 355 374 440 544 568 680 704 710 748 781 880 935 1088 1136 1207 1360 1420 1496 1562 1760 1870 2272 2414 2720 2840 2992 3124 3520 3740 3905 4544 4828 5440 5680 5984 6035 6248 7480 7810 9656 11360 11968 12070 12496 13277 14960 15620 19312 22720 24140 24992 26554 29920 31240 38624 48280 49984 53108 59840 62480 66385 77248 96560 106216 124960 132770 193120 212432 249920 265540 386240 424864 531080 849728 1062160 2124320 4248640