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3952640 = 2125193
BaseRepresentation
bin1111000101000000000000
321102211000002
433011000000
52002441030
6220415132
745411506
oct17050000
97384002
103952640
11225a74a
1213a74a8
13a85153
1474c676
15531245
hex3c5000

3952640 has 52 divisors (see below), whose sum is σ = 9534324. Its totient is φ = 1572864.

The previous prime is 3952633. The next prime is 3952649. The reversal of 3952640 is 462593.

It can be written as a sum of positive squares in 2 ways, for example, as 1183744 + 2768896 = 1088^2 + 1664^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3952649) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20384 + ... + 20576.

Almost surely, 23952640 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 3952640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4767162).

3952640 is an abundant number, since it is smaller than the sum of its proper divisors (5581684).

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

3952640 is an equidigital number, since it uses as much as digits as its factorization.

3952640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 29.

The square root of 3952640 is about 1988.1247445772. The cubic root of 3952640 is about 158.1111219574. Note that the first 4 decimals are identical.

The spelling of 3952640 in words is "three million, nine hundred fifty-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 193 256 320 386 512 640 772 965 1024 1280 1544 1930 2048 2560 3088 3860 4096 5120 6176 7720 10240 12352 15440 20480 24704 30880 49408 61760 98816 123520 197632 247040 395264 494080 790528 988160 1976320 3952640