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4786080 = 253513259
BaseRepresentation
bin10010010000011110100000
3100000011021020
4102100132200
52211123310
6250325440
755452405
oct22203640
910004236
104786080
112779942
121729880
13cb7600
148c82ac
15648170
hex4907a0

4786080 has 144 divisors (see below), whose sum is σ = 16601760. Its totient is φ = 1158144.

The previous prime is 4786079. The next prime is 4786091. The reversal of 4786080 is 806874.

It is a nialpdrome in base 13.

It is a congruent number.

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, 81091 + ... + 81149.

It is an arithmetic number, because the mean of its divisors is an integer number (115290).

Almost surely, 24786080 is an apocalyptic number.

4786080 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 4786080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8300880).

4786080 is an abundant number, since it is smaller than the sum of its proper divisors (11815680).

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

4786080 is a wasteful number, since it uses less digits than its factorization.

4786080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 4786080 is about 2187.7111326681. The cubic root of 4786080 is about 168.5233115291.

The spelling of 4786080 in words is "four million, seven hundred eighty-six thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 59 60 65 78 80 96 104 118 120 130 156 160 169 177 195 208 236 240 260 295 312 338 354 390 416 472 480 507 520 590 624 676 708 767 780 845 885 944 1014 1040 1180 1248 1352 1416 1534 1560 1690 1770 1888 2028 2080 2301 2360 2535 2704 2832 3068 3120 3380 3540 3835 4056 4602 4720 5070 5408 5664 6136 6240 6760 7080 7670 8112 9204 9440 9971 10140 11505 12272 13520 14160 15340 16224 18408 19942 20280 23010 24544 27040 28320 29913 30680 36816 39884 40560 46020 49855 59826 61360 73632 79768 81120 92040 99710 119652 122720 149565 159536 184080 199420 239304 299130 319072 368160 398840 478608 598260 797680 957216 1196520 1595360 2393040 4786080