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1052244400 = 245243131467
BaseRepresentation
bin111110101101111…
…111100110110000
32201022222112221211
4332231333212300
54123333310100
6252225125504
735034633634
oct7655774660
92638875854
101052244400
1149aa67879
12254489894
1313a00002c
149da6adc4
15625a11ba
hex3eb7f9b0

1052244400 has 120 divisors (see below), whose sum is σ = 2612136384. Its totient is φ = 407097600.

The previous prime is 1052244373. The next prime is 1052244421. The reversal of 1052244400 is 44422501.

It is a happy number.

It is a super-2 number, since 2×10522444002 = 2214436554662720000, which contains 22 as substring.

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, 2252967 + ... + 2253433.

Almost surely, 21052244400 is an apocalyptic number.

1052244400 is a gapful number since it is divisible by the number (10) 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 1052244400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1306068192).

1052244400 is an abundant number, since it is smaller than the sum of its proper divisors (1559891984).

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

1052244400 is a wasteful number, since it uses less digits than its factorization.

1052244400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 659 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

The square root of 1052244400 is about 32438.3168490598. The cubic root of 1052244400 is about 1017.1200319061.

Adding to 1052244400 its reverse (44422501), we get a palindrome (1096666901).

The spelling of 1052244400 in words is "one billion, fifty-two million, two hundred forty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 43 50 80 86 100 131 172 200 215 262 344 400 430 467 524 655 688 860 934 1048 1075 1310 1720 1868 2096 2150 2335 2620 3275 3440 3736 4300 4670 5240 5633 6550 7472 8600 9340 10480 11266 11675 13100 17200 18680 20081 22532 23350 26200 28165 37360 40162 45064 46700 52400 56330 61177 80324 90128 93400 100405 112660 122354 140825 160648 186800 200810 225320 244708 281650 305885 321296 401620 450640 489416 502025 563300 611770 803240 978832 1004050 1126600 1223540 1529425 1606480 2008100 2253200 2447080 2630611 3058850 4016200 4894160 5261222 6117700 8032400 10522444 12235400 13153055 21044888 24470800 26306110 42089776 52612220 65765275 105224440 131530550 210448880 263061100 526122200 1052244400