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3990528 = 21032433
BaseRepresentation
bin1111001110010000000000
321111201222100
433032100000
52010144103
6221310400
745630123
oct17162000
97451870
103990528
112286163
121405400
13a99479
1475c3ba
1553c5a3
hex3ce400

3990528 has 66 divisors (see below), whose sum is σ = 11549174. Its totient is φ = 1327104.

The previous prime is 3990521. The next prime is 3990541. The reversal of 3990528 is 8250993.

It can be written as a sum of positive squares in only one way, i.e., 2663424 + 1327104 = 1632^2 + 1152^2 .

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 junction number, because it is equal to n+sod(n) for n = 3990492 and 3990501.

It is not an unprimeable number, because it can be changed into a prime (3990521) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9000 + ... + 9432.

Almost surely, 23990528 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 3990528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5774587).

3990528 is an abundant number, since it is smaller than the sum of its proper divisors (7558646).

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

3990528 is a wasteful number, since it uses less digits than its factorization.

3990528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 3990528 is about 1997.6305964817. The cubic root of 3990528 is about 158.6147073076.

The spelling of 3990528 in words is "three million, nine hundred ninety thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 433 512 576 768 866 1024 1152 1299 1536 1732 2304 2598 3072 3464 3897 4608 5196 6928 7794 9216 10392 13856 15588 20784 27712 31176 41568 55424 62352 83136 110848 124704 166272 221696 249408 332544 443392 498816 665088 997632 1330176 1995264 3990528