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4682480 = 2451117313
BaseRepresentation
bin10001110111001011110000
322210220011012
4101313023300
52144314410
6244210052
754541355
oct21671360
98726135
104682480
112709020
121699928
13c7c3ca
1489c62c
15627605
hex4772f0

4682480 has 80 divisors (see below), whose sum is σ = 12615264. Its totient is φ = 1597440.

The previous prime is 4682479. The next prime is 4682507. The reversal of 4682480 is 842864.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14804 + ... + 15116.

Almost surely, 24682480 is an apocalyptic number.

4682480 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 4682480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6307632).

4682480 is an abundant number, since it is smaller than the sum of its proper divisors (7932784).

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

4682480 is a wasteful number, since it uses less digits than its factorization.

4682480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 4682480 is about 2163.9038795658. The cubic root of 4682480 is about 167.2984730091.

The spelling of 4682480 in words is "four million, six hundred eighty-two thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 34 40 44 55 68 80 85 88 110 136 170 176 187 220 272 313 340 374 440 626 680 748 880 935 1252 1360 1496 1565 1870 2504 2992 3130 3443 3740 5008 5321 6260 6886 7480 10642 12520 13772 14960 17215 21284 25040 26605 27544 34430 42568 53210 55088 58531 68860 85136 106420 117062 137720 212840 234124 275440 292655 425680 468248 585310 936496 1170620 2341240 4682480