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3850661232 = 2432117333301
BaseRepresentation
bin1110010110000100…
…0110110101110000
3100221100200212011200
43211201012311300
530341232124412
61434033011200
7164265036405
oct34541066560
910840625150
103850661232
1116a6663860
128b56b3b00
134949c4792
1428759c2ac
151780c69dc
hexe5846d70

3850661232 has 120 divisors (see below), whose sum is σ = 11917586928. Its totient is φ = 1150848000.

The previous prime is 3850661231. The next prime is 3850661237. The reversal of 3850661232 is 2321660583.

It is a happy number.

3850661232 is a `hidden beast` number, since 3 + 8 + 5 + 0 + 6 + 612 + 32 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3850661231) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98982 + ... + 132282.

Almost surely, 23850661232 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 3850661232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5958793464).

3850661232 is an abundant number, since it is smaller than the sum of its proper divisors (8066925696).

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

3850661232 is a wasteful number, since it uses less digits than its factorization.

3850661232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33399 (or 33390 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 3850661232 is about 62053.6963604909. The cubic root of 3850661232 is about 1567.3949295811.

The spelling of 3850661232 in words is "three billion, eight hundred fifty million, six hundred sixty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 73 88 99 132 144 146 176 198 219 264 292 396 438 528 584 657 792 803 876 1168 1314 1584 1606 1752 2409 2628 3212 3504 4818 5256 6424 7227 9636 10512 12848 14454 19272 28908 33301 38544 57816 66602 99903 115632 133204 199806 266408 299709 366311 399612 532816 599418 732622 799224 1098933 1198836 1465244 1598448 2197866 2397672 2430973 2930488 3296799 4395732 4795344 4861946 5860976 6593598 7292919 8791464 9723892 13187196 14585838 17582928 19447784 21878757 26374392 26740703 29171676 38895568 43757514 52748784 53481406 58343352 80222109 87515028 106962812 116686704 160444218 175030056 213925624 240666327 320888436 350060112 427851248 481332654 641776872 962665308 1283553744 1925330616 3850661232