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2090952 = 2332113257
BaseRepresentation
bin111111110011111001000
310221020020200
413332133020
51013402302
6112452200
723526033
oct7763710
93836220
102090952
1111a8a66
1284a060
13582966
143c601a
152b481c
hex1fe7c8

2090952 has 48 divisors (see below), whose sum is σ = 5735340. Its totient is φ = 688128.

The previous prime is 2090951. The next prime is 2090989. The reversal of 2090952 is 2590902.

It can be written as a sum of positive squares in 2 ways, for example, as 2090916 + 36 = 1446^2 + 6^2 .

It is not an unprimeable number, because it can be changed into a prime (2090951) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8008 + ... + 8264.

22090952 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 2090952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2867670).

2090952 is an abundant number, since it is smaller than the sum of its proper divisors (3644388).

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

2090952 is a wasteful number, since it uses less digits than its factorization.

2090952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 2090952 is about 1446.0124480792. The cubic root of 2090952 is about 127.8737361668.

The spelling of 2090952 in words is "two million, ninety thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 113 226 257 339 452 514 678 771 904 1017 1028 1356 1542 2034 2056 2313 2712 3084 4068 4626 6168 8136 9252 18504 29041 58082 87123 116164 174246 232328 261369 348492 522738 696984 1045476 2090952