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4791040 = 28519197
BaseRepresentation
bin10010010001101100000000
3100000102001221
4102101230000
52211303130
6250404424
755503022
oct22215400
910012057
104791040
112782641
121730714
13cb9947
148ca012
1564987a
hex491b00

4791040 has 72 divisors (see below), whose sum is σ = 12141360. Its totient is φ = 1806336.

The previous prime is 4791023. The next prime is 4791043. The reversal of 4791040 is 401974.

It is a junction number, because it is equal to n+sod(n) for n = 4790996 and 4791014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4791043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24222 + ... + 24418.

It is an arithmetic number, because the mean of its divisors is an integer number (168630).

Almost surely, 24791040 is an apocalyptic number.

4791040 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 4791040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6070680).

4791040 is an abundant number, since it is smaller than the sum of its proper divisors (7350320).

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

4791040 is a wasteful number, since it uses less digits than its factorization.

4791040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 4791040 is about 2188.8444439932. The cubic root of 4791040 is about 168.5815071743.

The spelling of 4791040 in words is "four million, seven hundred ninety-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 128 152 160 190 197 256 304 320 380 394 608 640 760 788 985 1216 1280 1520 1576 1970 2432 3040 3152 3743 3940 4864 6080 6304 7486 7880 12160 12608 14972 15760 18715 24320 25216 29944 31520 37430 50432 59888 63040 74860 119776 126080 149720 239552 252160 299440 479104 598880 958208 1197760 2395520 4791040