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4979840 = 27531251
BaseRepresentation
bin10010111111110010000000
3100101000001112
4102333302000
52233323330
6254422452
760220325
oct22776200
910330045
104979840
1128a1478
121801a28
131054868
14938b4c
15685795
hex4bfc80

4979840 has 64 divisors (see below), whose sum is σ = 12337920. Its totient is φ = 1920000.

The previous prime is 4979839. The next prime is 4979879. The reversal of 4979840 is 489794.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19715 + ... + 19965.

It is an arithmetic number, because the mean of its divisors is an integer number (192780).

Almost surely, 24979840 is an apocalyptic number.

4979840 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 4979840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6168960).

4979840 is an abundant number, since it is smaller than the sum of its proper divisors (7358080).

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

4979840 is a wasteful number, since it uses less digits than its factorization.

4979840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 41.

The square root of 4979840 is about 2231.5555112970. Note that the first 4 decimals coincide. The cubic root of 4979840 is about 170.7674643276.

The spelling of 4979840 in words is "four million, nine hundred seventy-nine thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 128 155 160 248 251 310 320 496 502 620 640 992 1004 1240 1255 1984 2008 2480 2510 3968 4016 4960 5020 7781 8032 9920 10040 15562 16064 19840 20080 31124 32128 38905 40160 62248 77810 80320 124496 155620 160640 248992 311240 497984 622480 995968 1244960 2489920 4979840