Search a number
-
+
4898400 = 2535213157
BaseRepresentation
bin10010101011111001100000
3100012212100020
4102223321200
52223222100
6252553440
756431023
oct22537140
910185306
104898400
112846271
121782880
131026780
149171ba
1566b5a0
hex4abe60

4898400 has 144 divisors (see below), whose sum is σ = 17280144. Its totient is φ = 1198080.

The previous prime is 4898389. The next prime is 4898417. The reversal of 4898400 is 48984.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31122 + ... + 31278.

It is an arithmetic number, because the mean of its divisors is an integer number (120001).

Almost surely, 24898400 is an apocalyptic number.

4898400 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 4898400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8640072).

4898400 is an abundant number, since it is smaller than the sum of its proper divisors (12381744).

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

4898400 is a wasteful number, since it uses less digits than its factorization.

4898400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 4898400 is about 2213.2329294496. The cubic root of 4898400 is about 169.8314361449.

Multiplying 4898400 by its reverse (48984), we get a square (239943225600 = 4898402).

4898400 divided by its reverse (48984) gives a square (100 = 102).

The spelling of 4898400 in words is "four million, eight hundred ninety-eight thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 32 39 40 48 50 52 60 65 75 78 80 96 100 104 120 130 150 156 157 160 195 200 208 240 260 300 312 314 325 390 400 416 471 480 520 600 624 628 650 780 785 800 942 975 1040 1200 1248 1256 1300 1560 1570 1884 1950 2041 2080 2355 2400 2512 2600 3120 3140 3768 3900 3925 4082 4710 5024 5200 6123 6240 6280 7536 7800 7850 8164 9420 10205 10400 11775 12246 12560 15072 15600 15700 16328 18840 20410 23550 24492 25120 30615 31200 31400 32656 37680 40820 47100 48984 51025 61230 62800 65312 75360 81640 94200 97968 102050 122460 125600 153075 163280 188400 195936 204100 244920 306150 326560 376800 408200 489840 612300 816400 979680 1224600 1632800 2449200 4898400