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425516800 = 2852173911
BaseRepresentation
bin11001010111001…
…101111100000000
31002122200111022111
4121113031330000
51332413014200
6110120145104
713354555522
oct3127157400
91078614274
10425516800
111a9214085
12ba608194
136a206ab7
1440727a12
15275540ba
hex195cdf00

425516800 has 108 divisors (see below), whose sum is σ = 1115459856. Its totient is φ = 160153600.

The previous prime is 425516779. The next prime is 425516827. The reversal of 425516800 is 8615524.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 106845 + ... + 110755.

It is an arithmetic number, because the mean of its divisors is an integer number (10328332).

Almost surely, 2425516800 is an apocalyptic number.

425516800 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 425516800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557729928).

425516800 is an abundant number, since it is smaller than the sum of its proper divisors (689943056).

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

425516800 is a wasteful number, since it uses less digits than its factorization.

425516800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3954 (or 3935 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 31.

The square root of 425516800 is about 20628.0585610959. The cubic root of 425516800 is about 752.1519234325.

The spelling of 425516800 in words is "four hundred twenty-five million, five hundred sixteen thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 64 68 80 85 100 128 136 160 170 200 256 272 320 340 400 425 544 640 680 800 850 1088 1280 1360 1600 1700 2176 2720 3200 3400 3911 4352 5440 6400 6800 7822 10880 13600 15644 19555 21760 27200 31288 39110 54400 62576 66487 78220 97775 108800 125152 132974 156440 195550 250304 265948 312880 332435 391100 500608 531896 625760 664870 782200 1001216 1063792 1251520 1329740 1564400 1662175 2127584 2503040 2659480 3128800 3324350 4255168 5006080 5318960 6257600 6648700 8510336 10637920 12515200 13297400 17020672 21275840 25030400 26594800 42551680 53189600 85103360 106379200 212758400 425516800