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4933960 = 2352331173
BaseRepresentation
bin10010110100100101001000
3100021200010021
4102310211020
52230341320
6253430224
756636503
oct22644510
910250107
104933960
11286aa59
12179b374
131039a05
1492613a
15676daa
hex4b4948

4933960 has 64 divisors (see below), whose sum is σ = 12026880. Its totient is φ = 1816320.

The previous prime is 4933909. The next prime is 4933967. The reversal of 4933960 is 693394.

It is a super-2 number, since 2×49339602 = 48687922563200, which contains 22 as substring.

It is a d-powerful number, because it can be written as 48 + 92 + 313 + 313 + 92 + 68 + 0 .

It is not an unprimeable number, because it can be changed into a prime (4933967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28434 + ... + 28606.

It is an arithmetic number, because the mean of its divisors is an integer number (187920).

Almost surely, 24933960 is an apocalyptic number.

4933960 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 4933960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6013440).

4933960 is an abundant number, since it is smaller than the sum of its proper divisors (7092920).

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

4933960 is a wasteful number, since it uses less digits than its factorization.

4933960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 34.

The square root of 4933960 is about 2221.2518992676. The cubic root of 4933960 is about 170.2414101926.

The spelling of 4933960 in words is "four million, nine hundred thirty-three thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 20 23 31 40 46 62 92 115 124 155 173 184 230 248 310 346 460 620 692 713 865 920 1240 1384 1426 1730 2852 3460 3565 3979 5363 5704 6920 7130 7958 10726 14260 15916 19895 21452 26815 28520 31832 39790 42904 53630 79580 107260 123349 159160 214520 246698 493396 616745 986792 1233490 2466980 4933960