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4860480 = 26356183
BaseRepresentation
bin10010100010101001000000
3100010221022210
4102202221000
52221013410
6252102120
756212332
oct22425100
910127283
104860480
11281a829
121764940
131012431
14907452
15660220
hex4a2a40

4860480 has 112 divisors (see below), whose sum is σ = 15873984. Its totient is φ = 1259520.

The previous prime is 4860463. The next prime is 4860481. The reversal of 4860480 is 840684.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (4860481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58519 + ... + 58601.

It is an arithmetic number, because the mean of its divisors is an integer number (141732).

Almost surely, 24860480 is an apocalyptic number.

4860480 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 4860480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7936992).

4860480 is an abundant number, since it is smaller than the sum of its proper divisors (11013504).

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

4860480 is a wasteful number, since it uses less digits than its factorization.

4860480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 4860480 is about 2204.6496320277. The cubic root of 4860480 is about 169.3920615248.

It can be divided in two parts, 48604 and 80, that added together give a palindrome (48684).

The spelling of 4860480 in words is "four million, eight hundred sixty thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 61 64 80 83 96 120 122 160 166 183 192 240 244 249 305 320 332 366 415 480 488 498 610 664 732 830 915 960 976 996 1220 1245 1328 1464 1660 1830 1952 1992 2440 2490 2656 2928 3320 3660 3904 3984 4880 4980 5063 5312 5856 6640 7320 7968 9760 9960 10126 11712 13280 14640 15189 15936 19520 19920 20252 25315 26560 29280 30378 39840 40504 50630 58560 60756 75945 79680 81008 101260 121512 151890 162016 202520 243024 303780 324032 405040 486048 607560 810080 972096 1215120 1620160 2430240 4860480