Search a number
-
+
4982880 = 253571483
BaseRepresentation
bin10011000000100001100000
3100101011020010
4103000201200
52233423010
6254444520
760232230
oct23004140
910334203
104982880
1128a3791
121803740
131056066
14939cc0
15686620
hex4c0860

4982880 has 96 divisors (see below), whose sum is σ = 17950464. Its totient is φ = 1138176.

The previous prime is 4982869. The next prime is 4982897. The reversal of 4982880 is 882894.

It is a happy number.

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

It is an Ulam number.

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, 2619 + ... + 4101.

It is an arithmetic number, because the mean of its divisors is an integer number (186984).

Almost surely, 24982880 is an apocalyptic number.

4982880 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 4982880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8975232).

4982880 is an abundant number, since it is smaller than the sum of its proper divisors (12967584).

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

4982880 is a wasteful number, since it uses less digits than its factorization.

4982880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1508 (or 1500 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The square root of 4982880 is about 2232.2365466052. The cubic root of 4982880 is about 170.8022062397.

The spelling of 4982880 in words is "four million, nine hundred eighty-two thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 70 80 84 96 105 112 120 140 160 168 210 224 240 280 336 420 480 560 672 840 1120 1483 1680 2966 3360 4449 5932 7415 8898 10381 11864 14830 17796 20762 22245 23728 29660 31143 35592 41524 44490 47456 51905 59320 62286 71184 83048 88980 103810 118640 124572 142368 155715 166096 177960 207620 237280 249144 311430 332192 355920 415240 498288 622860 711840 830480 996576 1245720 1660960 2491440 4982880