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3969952 = 25737479
BaseRepresentation
bin1111001001001110100000
321110200202021
433021032200
52004014302
6221031224
745513130
oct17111640
97420667
103969952
112271758
1213b5514
13a8ccac
14754ac0
15536437
hex3c93a0

3969952 has 48 divisors (see below), whose sum is σ = 9192960. Its totient is φ = 1651968.

The previous prime is 3969943. The next prime is 3969971. The reversal of 3969952 is 2599693.

It is a junction number, because it is equal to n+sod(n) for n = 3969899 and 3969908.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8049 + ... + 8527.

It is an arithmetic number, because the mean of its divisors is an integer number (191520).

Almost surely, 23969952 is an apocalyptic number.

3969952 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 3969952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4596480).

3969952 is an abundant number, since it is smaller than the sum of its proper divisors (5223008).

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

3969952 is a wasteful number, since it uses less digits than its factorization.

3969952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533 (or 525 counting only the distinct ones).

The product of its digits is 131220, while the sum is 43.

The square root of 3969952 is about 1992.4738392260. The cubic root of 3969952 is about 158.3416204958.

The spelling of 3969952 in words is "three million, nine hundred sixty-nine thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 37 56 74 112 148 224 259 296 479 518 592 958 1036 1184 1916 2072 3353 3832 4144 6706 7664 8288 13412 15328 17723 26824 35446 53648 70892 107296 124061 141784 248122 283568 496244 567136 992488 1984976 3969952