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3979352 = 231383461
BaseRepresentation
bin1111001011100001011000
321111011122102
433023201120
52004314402
6221142532
745552416
oct17134130
97434572
103979352
112278823
1213baa48
13a94360
147582b6
15539102
hex3cb858

3979352 has 32 divisors (see below), whose sum is σ = 8149680. Its totient is φ = 1810560.

The previous prime is 3979289. The next prime is 3979357. The reversal of 3979352 is 2539793.

3979352 = T223 + T224 + ... + T326.

3979352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3979357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8402 + ... + 8862.

Almost surely, 23979352 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 3979352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4074840).

3979352 is an abundant number, since it is smaller than the sum of its proper divisors (4170328).

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

3979352 is a wasteful number, since it uses less digits than its factorization.

3979352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563 (or 559 counting only the distinct ones).

The product of its digits is 51030, while the sum is 38.

The square root of 3979352 is about 1994.8313211898. The cubic root of 3979352 is about 158.4664950558.

The spelling of 3979352 in words is "three million, nine hundred seventy-nine thousand, three hundred fifty-two".

Divisors: 1 2 4 8 13 26 52 83 104 166 332 461 664 922 1079 1844 2158 3688 4316 5993 8632 11986 23972 38263 47944 76526 153052 306104 497419 994838 1989676 3979352