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4923840 = 263523223
BaseRepresentation
bin10010110010000111000000
3100021011020110
4102302013000
52230030330
6253311320
756565135
oct22620700
910234213
104923840
112863399
121795540
13103521c
1492258c
15673db0
hex4b21c0

4923840 has 112 divisors (see below), whose sum is σ = 16386048. Its totient is φ = 1250304.

The previous prime is 4923839. The next prime is 4923883. The reversal of 4923840 is 483294.

It is a happy number.

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 = 4923798 and 4923807.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21969 + ... + 22191.

It is an arithmetic number, because the mean of its divisors is an integer number (146304).

Almost surely, 24923840 is an apocalyptic number.

4923840 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 4923840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8193024).

4923840 is an abundant number, since it is smaller than the sum of its proper divisors (11462208).

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

4923840 is a wasteful number, since it uses less digits than its factorization.

4923840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 256 counting only the distinct ones).

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

The square root of 4923840 is about 2218.9727352989. The cubic root of 4923840 is about 170.1249369934.

The spelling of 4923840 in words is "four million, nine hundred twenty-three thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 60 64 69 80 92 96 115 120 138 160 184 192 223 230 240 276 320 345 368 446 460 480 552 669 690 736 892 920 960 1104 1115 1338 1380 1472 1784 1840 2208 2230 2676 2760 3345 3568 3680 4416 4460 5129 5352 5520 6690 7136 7360 8920 10258 10704 11040 13380 14272 15387 17840 20516 21408 22080 25645 26760 30774 35680 41032 42816 51290 53520 61548 71360 76935 82064 102580 107040 123096 153870 164128 205160 214080 246192 307740 328256 410320 492384 615480 820640 984768 1230960 1641280 2461920 4923840