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4428840 = 23351317167
BaseRepresentation
bin10000111001010000101000
322100000020010
4100321100220
52113210330
6234531520
752434033
oct20712050
98300203
104428840
1125554a9
121596ba0
13bc0b20
1483401a
155c73b0
hex439428

4428840 has 128 divisors (see below), whose sum is σ = 15240960. Its totient is φ = 1019904.

The previous prime is 4428833. The next prime is 4428847. The reversal of 4428840 is 488244.

It is an interprime number because it is at equal distance from previous prime (4428833) and next prime (4428847).

It is a super-2 number, since 2×44288402 = 39229247491200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 4428798 and 4428807.

It is not an unprimeable number, because it can be changed into a prime (4428847) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26437 + ... + 26603.

It is an arithmetic number, because the mean of its divisors is an integer number (119070).

Almost surely, 24428840 is an apocalyptic number.

4428840 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 4428840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7620480).

4428840 is an abundant number, since it is smaller than the sum of its proper divisors (10812120).

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

4428840 is a wasteful number, since it uses less digits than its factorization.

4428840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 30.

The square root of 4428840 is about 2104.4809336271. The cubic root of 4428840 is about 164.2214933071.

The spelling of 4428840 in words is "four million, four hundred twenty-eight thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 17 20 24 26 30 34 39 40 51 52 60 65 68 78 85 102 104 120 130 136 156 167 170 195 204 221 255 260 312 334 340 390 408 442 501 510 520 663 668 680 780 835 884 1002 1020 1105 1326 1336 1560 1670 1768 2004 2040 2171 2210 2505 2652 2839 3315 3340 4008 4342 4420 5010 5304 5678 6513 6630 6680 8517 8684 8840 10020 10855 11356 13026 13260 14195 17034 17368 20040 21710 22712 26052 26520 28390 32565 34068 36907 42585 43420 52104 56780 65130 68136 73814 85170 86840 110721 113560 130260 147628 170340 184535 221442 260520 295256 340680 369070 442884 553605 738140 885768 1107210 1476280 2214420 4428840