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4980456 = 23321317313
BaseRepresentation
bin10010111111111011101000
3100101000220100
4102333323220
52233333311
6254425400
760222165
oct22777350
910330810
104980456
1128a1988
121802260
131054c20
1493906c
15685a56
hex4bfee8

4980456 has 96 divisors (see below), whose sum is σ = 15429960. Its totient is φ = 1437696.

The previous prime is 4980427. The next prime is 4980499. The reversal of 4980456 is 6540894.

It can be written as a sum of positive squares in 4 ways, for example, as 2452356 + 2528100 = 1566^2 + 1590^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 5.

It is a self number, because there is not a number n which added to its sum of digits gives 4980456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15756 + ... + 16068.

Almost surely, 24980456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4980456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7714980).

4980456 is an abundant number, since it is smaller than the sum of its proper divisors (10449504).

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

4980456 is a wasteful number, since it uses less digits than its factorization.

4980456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 4980456 is about 2231.6935273464. The cubic root of 4980456 is about 170.7745052781.

The spelling of 4980456 in words is "four million, nine hundred eighty thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 17 18 24 26 34 36 39 51 52 68 72 78 102 104 117 136 153 156 204 221 234 306 312 313 408 442 468 612 626 663 884 936 939 1224 1252 1326 1768 1878 1989 2504 2652 2817 3756 3978 4069 5304 5321 5634 7512 7956 8138 10642 11268 12207 15912 15963 16276 21284 22536 24414 31926 32552 36621 42568 47889 48828 63852 69173 73242 95778 97656 127704 138346 146484 191556 207519 276692 292968 383112 415038 553384 622557 830076 1245114 1660152 2490228 4980456