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4893840 = 243257971
BaseRepresentation
bin10010101010110010010000
3100012122002100
4102222302100
52223100330
6252520400
756411520
oct22526220
910178070
104893840
1128428a6
121780100
131024683
14915680
1566a060
hex4aac90

4893840 has 120 divisors (see below), whose sum is σ = 18802368. Its totient is φ = 1117440.

The previous prime is 4893829. The next prime is 4893851. The reversal of 4893840 is 483984.

It is an interprime number because it is at equal distance from previous prime (4893829) and next prime (4893851).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4893795 and 4893804.

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, 4555 + ... + 5525.

Almost surely, 24893840 is an apocalyptic number.

4893840 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 4893840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9401184).

4893840 is an abundant number, since it is smaller than the sum of its proper divisors (13908528).

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

4893840 is a wasteful number, since it uses less digits than its factorization.

4893840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 997 (or 988 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 4893840 is about 2212.2025223745. The cubic root of 4893840 is about 169.7787201708.

The spelling of 4893840 in words is "four million, eight hundred ninety-three thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 56 60 63 70 72 80 84 90 105 112 120 126 140 144 168 180 210 240 252 280 315 336 360 420 504 560 630 720 840 971 1008 1260 1680 1942 2520 2913 3884 4855 5040 5826 6797 7768 8739 9710 11652 13594 14565 15536 17478 19420 20391 23304 27188 29130 33985 34956 38840 40782 43695 46608 54376 58260 61173 67970 69912 77680 81564 87390 101955 108752 116520 122346 135940 139824 163128 174780 203910 233040 244692 271880 305865 326256 349560 407820 489384 543760 611730 699120 815640 978768 1223460 1631280 2446920 4893840