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4909240 = 235789197
BaseRepresentation
bin10010101110100010111000
3100020102012201
4102232202320
52224043430
6253115544
756504440
oct22564270
910212181
104909240
112853426
121788bb4
13102b69b
1491b120
1566e8ca
hex4ae8b8

4909240 has 64 divisors (see below), whose sum is σ = 12830400. Its totient is φ = 1655808.

The previous prime is 4909199. The next prime is 4909241. The reversal of 4909240 is 429094.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 4909199 and 4909208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4909241) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 24822 + ... + 25018.

It is an arithmetic number, because the mean of its divisors is an integer number (200475).

Almost surely, 24909240 is an apocalyptic number.

4909240 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 4909240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6415200).

4909240 is an abundant number, since it is smaller than the sum of its proper divisors (7921160).

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

4909240 is a wasteful number, since it uses less digits than its factorization.

4909240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 4909240 is about 2215.6804823801. The cubic root of 4909240 is about 169.9566209965.

It can be divided in two parts, 490 and 9240, that added together give a triangular number (9730 = T139).

The spelling of 4909240 in words is "four million, nine hundred nine thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 89 140 178 197 280 356 394 445 623 712 788 890 985 1246 1379 1576 1780 1970 2492 2758 3115 3560 3940 4984 5516 6230 6895 7880 11032 12460 13790 17533 24920 27580 35066 55160 70132 87665 122731 140264 175330 245462 350660 490924 613655 701320 981848 1227310 2454620 4909240