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3990589632 = 26335343573
BaseRepresentation
bin1110110111011011…
…1001000011000000
3101022002222221212000
43231312321003000
531133042332012
61455552104000
7200614311051
oct35566710300
911262887760
103990589632
111768647067
12934535000
134b79a8353
1429bdc4728
15185516ddc
hexeddb90c0

3990589632 has 112 divisors (see below), whose sum is σ = 11953219680. Its totient is φ = 1305068544.

The previous prime is 3990589621. The next prime is 3990589637. The reversal of 3990589632 is 2369850993.

3990589632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×39905896322 = 31849611222051790848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (3990589637) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69798 + ... + 113370.

Almost surely, 23990589632 is an apocalyptic number.

3990589632 is a gapful number since it is divisible by the number (32) 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 3990589632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5976609840).

3990589632 is an abundant number, since it is smaller than the sum of its proper divisors (7962630048).

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

3990589632 is a wasteful number, since it uses less digits than its factorization.

3990589632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43647 (or 43631 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 54.

The square root of 3990589632 is about 63171.1139050120. The cubic root of 3990589632 is about 1586.1552388216.

The spelling of 3990589632 in words is "three billion, nine hundred ninety million, five hundred eighty-nine thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 53 54 64 72 96 106 108 144 159 192 212 216 288 318 424 432 477 576 636 848 864 954 1272 1431 1696 1728 1908 2544 2862 3392 3816 5088 5724 7632 10176 11448 15264 22896 30528 43573 45792 87146 91584 130719 174292 261438 348584 392157 522876 697168 784314 1045752 1176471 1394336 1568628 2091504 2309369 2352942 2788672 3137256 4183008 4618738 4705884 6274512 6928107 8366016 9237476 9411768 12549024 13856214 18474952 18823536 20784321 25098048 27712428 36949904 37647072 41568642 55424856 62352963 73899808 75294144 83137284 110849712 124705926 147799616 166274568 221699424 249411852 332549136 443398848 498823704 665098272 997647408 1330196544 1995294816 3990589632