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3952296 = 2332173229
BaseRepresentation
bin1111000100111010101000
321102210112100
433010322220
52002433141
6220413400
745410505
oct17047250
97383470
103952296
11225a467
1213a7260
13a84c4a
1474c4ac
155310b6
hex3c4ea8

3952296 has 48 divisors (see below), whose sum is σ = 11337300. Its totient is φ = 1239552.

The previous prime is 3952243. The next prime is 3952301. The reversal of 3952296 is 6922593.

3952296 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3944196 + 8100 = 1986^2 + 90^2 .

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 self number, because there is not a number n which added to its sum of digits gives 3952296.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 391 + ... + 2838.

Almost surely, 23952296 is an apocalyptic number.

3952296 is a gapful number since it is divisible by the number (36) 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 3952296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5668650).

3952296 is an abundant number, since it is smaller than the sum of its proper divisors (7385004).

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

3952296 is a wasteful number, since it uses less digits than its factorization.

3952296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3258 (or 3251 counting only the distinct ones).

The product of its digits is 29160, while the sum is 36.

The square root of 3952296 is about 1988.0382290087. The cubic root of 3952296 is about 158.1065349975.

The spelling of 3952296 in words is "three million, nine hundred fifty-two thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1224 3229 6458 9687 12916 19374 25832 29061 38748 54893 58122 77496 109786 116244 164679 219572 232488 329358 439144 494037 658716 988074 1317432 1976148 3952296