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4908960 = 253257487
BaseRepresentation
bin10010101110011110100000
3100020101211100
4102232132200
52224041320
6253114400
756503560
oct22563640
910211740
104908960
1128531a1
121788a00
13102b514
1491ada0
1566e790
hex4ae7a0

4908960 has 144 divisors (see below), whose sum is σ = 19184256. Its totient is φ = 1119744.

The previous prime is 4908949. The next prime is 4908961. The reversal of 4908960 is 698094.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (36) 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 (36).

It is not an unprimeable number, because it can be changed into a prime (4908961) 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 23 ways as a sum of consecutive naturals, for example, 9837 + ... + 10323.

It is an arithmetic number, because the mean of its divisors is an integer number (133224).

Almost surely, 24908960 is an apocalyptic number.

4908960 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 4908960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9592128).

4908960 is an abundant number, since it is smaller than the sum of its proper divisors (14275296).

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

4908960 is a wasteful number, since it uses less digits than its factorization.

4908960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 4908960 is about 2215.6172954732. The cubic root of 4908960 is about 169.9533897592.

The spelling of 4908960 in words is "four million, nine hundred eight thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 63 70 72 80 84 90 96 105 112 120 126 140 144 160 168 180 210 224 240 252 280 288 315 336 360 420 480 487 504 560 630 672 720 840 974 1008 1120 1260 1440 1461 1680 1948 2016 2435 2520 2922 3360 3409 3896 4383 4870 5040 5844 6818 7305 7792 8766 9740 10080 10227 11688 13636 14610 15584 17045 17532 19480 20454 21915 23376 27272 29220 30681 34090 35064 38960 40908 43830 46752 51135 54544 58440 61362 68180 70128 77920 81816 87660 102270 109088 116880 122724 136360 140256 153405 163632 175320 204540 233760 245448 272720 306810 327264 350640 409080 490896 545440 613620 701280 818160 981792 1227240 1636320 2454480 4908960