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4909920 = 253553193
BaseRepresentation
bin10010101110101101100000
3100020110010220
4102232231200
52224104140
6253123040
756506431
oct22565540
910213126
104909920
112853994
121789480
13102baa2
1491b488
1566ebd0
hex4aeb60

4909920 has 96 divisors (see below), whose sum is σ = 15839712. Its totient is φ = 1277952.

The previous prime is 4909871. The next prime is 4909939. The reversal of 4909920 is 299094.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 25344 + ... + 25536.

It is an arithmetic number, because the mean of its divisors is an integer number (164997).

Almost surely, 24909920 is an apocalyptic number.

4909920 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 4909920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7919856).

4909920 is an abundant number, since it is smaller than the sum of its proper divisors (10929792).

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

4909920 is a wasteful number, since it uses less digits than its factorization.

4909920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 33.

The square root of 4909920 is about 2215.8339287952. The cubic root of 4909920 is about 169.9644677757.

The spelling of 4909920 in words is "four million, nine hundred nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 53 60 80 96 106 120 159 160 193 212 240 265 318 386 424 480 530 579 636 772 795 848 965 1060 1158 1272 1544 1590 1696 1930 2120 2316 2544 2895 3088 3180 3860 4240 4632 5088 5790 6176 6360 7720 8480 9264 10229 11580 12720 15440 18528 20458 23160 25440 30687 30880 40916 46320 51145 61374 81832 92640 102290 122748 153435 163664 204580 245496 306870 327328 409160 490992 613740 818320 981984 1227480 1636640 2454960 4909920