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2361952 = 25312381
BaseRepresentation
bin1001000000101001100000
311102222222201
421000221200
51101040302
6122342544
726035105
oct11005140
94388881
102361952
11137362a
1295aa54
13649108
14456aac
15319c87
hex240a60

2361952 has 24 divisors (see below), whose sum is σ = 4802112. Its totient is φ = 1142400.

The previous prime is 2361943. The next prime is 2361959. The reversal of 2361952 is 2591632.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a plaindrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 2361952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2361959) 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, 199 + ... + 2182.

It is an arithmetic number, because the mean of its divisors is an integer number (200088).

22361952 is an apocalyptic number.

It is an amenable number.

2361952 is an abundant number, since it is smaller than the sum of its proper divisors (2440160).

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

2361952 is a wasteful number, since it uses less digits than its factorization.

2361952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2422 (or 2414 counting only the distinct ones).

The product of its digits is 3240, while the sum is 28.

The square root of 2361952 is about 1536.8643401420. The cubic root of 2361952 is about 133.1753016578.

The spelling of 2361952 in words is "two million, three hundred sixty-one thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 16 31 32 62 124 248 496 992 2381 4762 9524 19048 38096 73811 76192 147622 295244 590488 1180976 2361952