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4857920 = 265171947
BaseRepresentation
bin10010100010000001000000
3100010210210222
4102202001000
52220423140
6252042212
756202014
oct22420100
910123728
104857920
112818911
121763368
131011212
14906544
1565e5b5
hex4a2040

4857920 has 112 divisors (see below), whose sum is σ = 13167360. Its totient is φ = 1695744.

The previous prime is 4857893. The next prime is 4857943. The reversal of 4857920 is 297584.

It is a happy number.

It is an Ulam number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103337 + ... + 103383.

Almost surely, 24857920 is an apocalyptic number.

4857920 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 4857920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6583680).

4857920 is an abundant number, since it is smaller than the sum of its proper divisors (8309440).

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

4857920 is a wasteful number, since it uses less digits than its factorization.

4857920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 35.

The square root of 4857920 is about 2204.0689644383. The cubic root of 4857920 is about 169.3623168746.

The spelling of 4857920 in words is "four million, eight hundred fifty-seven thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 19 20 32 34 38 40 47 64 68 76 80 85 94 95 136 152 160 170 188 190 235 272 304 320 323 340 376 380 470 544 608 646 680 752 760 799 893 940 1088 1216 1292 1360 1504 1520 1598 1615 1786 1880 2584 2720 3008 3040 3196 3230 3572 3760 3995 4465 5168 5440 6080 6392 6460 7144 7520 7990 8930 10336 12784 12920 14288 15040 15181 15980 17860 20672 25568 25840 28576 30362 31960 35720 51136 51680 57152 60724 63920 71440 75905 103360 121448 127840 142880 151810 242896 255680 285760 303620 485792 607240 971584 1214480 2428960 4857920