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4812840 = 2332529461
BaseRepresentation
bin10010010111000000101000
3100001111222100
4102113000220
52213002330
6251053400
755623414
oct22270050
910044870
104812840
112797a5a
121741260
13cc6846
148d3d44
15651060
hex497028

4812840 has 96 divisors (see below), whose sum is σ = 16216200. Its totient is φ = 1236480.

The previous prime is 4812827. The next prime is 4812851. The reversal of 4812840 is 482184.

It can be written as a sum of positive squares in 4 ways, for example, as 3526884 + 1285956 = 1878^2 + 1134^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10210 + ... + 10670.

Almost surely, 24812840 is an apocalyptic number.

4812840 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 4812840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8108100).

4812840 is an abundant number, since it is smaller than the sum of its proper divisors (11403360).

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

4812840 is a wasteful number, since it uses less digits than its factorization.

4812840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 4812840 is about 2193.8185886714. The cubic root of 4812840 is about 168.8368113004.

It can be divided in two parts, 481 and 2840, that added together give a triangular number (3321 = T81).

The spelling of 4812840 in words is "four million, eight hundred twelve thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 29 30 36 40 45 58 60 72 87 90 116 120 145 174 180 232 261 290 348 360 435 461 522 580 696 870 922 1044 1160 1305 1383 1740 1844 2088 2305 2610 2766 3480 3688 4149 4610 5220 5532 6915 8298 9220 10440 11064 13369 13830 16596 18440 20745 26738 27660 33192 40107 41490 53476 55320 66845 80214 82980 106952 120321 133690 160428 165960 200535 240642 267380 320856 401070 481284 534760 601605 802140 962568 1203210 1604280 2406420 4812840