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4839240 = 233572823
BaseRepresentation
bin10010011101011101001000
3100002212012010
4102131131020
52214323430
6251415520
756063400
oct22353510
910085163
104839240
11280587a
1217545a0
131005873
148dd800
15658cb0
hex49d748

4839240 has 96 divisors (see below), whose sum is σ = 16908480. Its totient is φ = 1104768.

The previous prime is 4839229. The next prime is 4839253. The reversal of 4839240 is 429384.

It is a happy number.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4839198 and 4839207.

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 23 ways as a sum of consecutive naturals, for example, 5469 + ... + 6291.

It is an arithmetic number, because the mean of its divisors is an integer number (176130).

Almost surely, 24839240 is an apocalyptic number.

4839240 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 4839240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8454240).

4839240 is an abundant number, since it is smaller than the sum of its proper divisors (12069240).

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

4839240 is a wasteful number, since it uses less digits than its factorization.

4839240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 851 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 4839240 is about 2199.8272659461. The cubic root of 4839240 is about 169.1449569181.

The spelling of 4839240 in words is "four million, eight hundred thirty-nine thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 49 56 60 70 84 98 105 120 140 147 168 196 210 245 280 294 392 420 490 588 735 823 840 980 1176 1470 1646 1960 2469 2940 3292 4115 4938 5761 5880 6584 8230 9876 11522 12345 16460 17283 19752 23044 24690 28805 32920 34566 40327 46088 49380 57610 69132 80654 86415 98760 115220 120981 138264 161308 172830 201635 230440 241962 322616 345660 403270 483924 604905 691320 806540 967848 1209810 1613080 2419620 4839240