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442250250 = 23531367677
BaseRepresentation
bin11010010111000…
…011010000001010
31010211011122021220
4122113003100022
51401204002000
6111514542510
713650031221
oct3227032012
91124148256
10442250250
11207703182
12104137a36
1370815450
1442a41cb8
1528c5c1a0
hex1a5c340a

442250250 has 128 divisors (see below), whose sum is σ = 1208293632. Its totient is φ = 107078400.

The previous prime is 442250243. The next prime is 442250269. The reversal of 442250250 is 52052244.

It is a happy number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 442250250.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 652912 + ... + 653588.

It is an arithmetic number, because the mean of its divisors is an integer number (9439794).

Almost surely, 2442250250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442250250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604146816).

442250250 is an abundant number, since it is smaller than the sum of its proper divisors (766043382).

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

442250250 is a wasteful number, since it uses less digits than its factorization.

442250250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 777 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 24.

The square root of 442250250 is about 21029.7467887752. The cubic root of 442250250 is about 761.8848931606.

The spelling of 442250250 in words is "four hundred forty-two million, two hundred fifty thousand, two hundred fifty".

Divisors: 1 2 3 5 6 10 13 15 25 26 30 39 50 65 67 75 78 125 130 134 150 195 201 250 325 335 375 390 402 650 670 677 750 871 975 1005 1354 1625 1675 1742 1950 2010 2031 2613 3250 3350 3385 4062 4355 4875 5025 5226 6770 8375 8710 8801 9750 10050 10155 13065 16750 16925 17602 20310 21775 25125 26130 26403 33850 43550 44005 45359 50250 50775 52806 65325 84625 88010 90718 101550 108875 130650 132015 136077 169250 217750 220025 226795 253875 264030 272154 326625 440050 453590 507750 589667 653250 660075 680385 1100125 1133975 1179334 1320150 1360770 1769001 2200250 2267950 2948335 3300375 3401925 3538002 5669875 5896670 6600750 6803850 8845005 11339750 14741675 17009625 17690010 29483350 34019250 44225025 73708375 88450050 147416750 221125125 442250250