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3990963200 = 21052722271
BaseRepresentation
bin1110110111100001…
…0100010000000000
3101022010200221021212
43231320110100000
531133141310300
61500004105252
7200620425140
oct35570242000
911263627255
103990963200
1117688817a4
12934695228
134b7aa93b3
1429c080920
1518558c935
hexede14400

3990963200 has 132 divisors (see below), whose sum is σ = 11306514432. Its totient is φ = 1368268800.

The previous prime is 3990963173. The next prime is 3990963203. The reversal of 3990963200 is 23690993.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (3990963203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 168065 + ... + 190335.

Almost surely, 23990963200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3990963200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5653257216).

3990963200 is an abundant number, since it is smaller than the sum of its proper divisors (7315551232).

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

3990963200 is a wasteful number, since it uses less digits than its factorization.

3990963200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22308 (or 22285 counting only the distinct ones).

The product of its (nonzero) digits is 78732, while the sum is 41.

The square root of 3990963200 is about 63174.0706302831. The cubic root of 3990963200 is about 1586.2047317877.

The spelling of 3990963200 in words is "three billion, nine hundred ninety million, nine hundred sixty-three thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 128 140 160 175 200 224 256 280 320 350 400 448 512 560 640 700 800 896 1024 1120 1280 1400 1600 1792 2240 2560 2800 3200 3584 4480 5120 5600 6400 7168 8960 11200 12800 17920 22271 22400 25600 35840 44542 44800 89084 89600 111355 155897 178168 179200 222710 311794 356336 445420 556775 623588 712672 779485 890840 1113550 1247176 1425344 1558970 1781680 2227100 2494352 2850688 3117940 3563360 3897425 4454200 4988704 5701376 6235880 7126720 7794850 8908400 9977408 11402752 12471760 14253440 15589700 17816800 19954816 22805504 24943520 28506880 31179400 35633600 39909632 49887040 57013760 62358800 71267200 79819264 99774080 114027520 124717600 142534400 159638528 199548160 249435200 285068800 399096320 498870400 570137600 798192640 997740800 1995481600 3990963200