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2291952 = 243133673
BaseRepresentation
bin1000101111100011110000
311022102222010
420233203300
51041320302
6121042520
725324035
oct10574360
94272863
102291952
111325a83
12926440
136232b0
1443938c
1530416c
hex22f8f0

2291952 has 40 divisors (see below), whose sum is σ = 6378064. Its totient is φ = 705024.

The previous prime is 2291929. The next prime is 2291959. The reversal of 2291952 is 2591922.

2291952 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 (2291959) 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, 1213 + ... + 2460.

22291952 is an apocalyptic number.

It is an amenable number.

2291952 is an abundant number, since it is smaller than the sum of its proper divisors (4086112).

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

2291952 is a wasteful number, since it uses less digits than its factorization.

2291952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3697 (or 3691 counting only the distinct ones).

The product of its digits is 3240, while the sum is 30.

The square root of 2291952 is about 1513.9194166137. The cubic root of 2291952 is about 131.8464697983.

Subtracting from 2291952 its sum of digits (30), we obtain a palindrome (2291922).

The spelling of 2291952 in words is "two million, two hundred ninety-one thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 3673 7346 11019 14692 22038 29384 44076 47749 58768 88152 95498 143247 176304 190996 286494 381992 572988 763984 1145976 2291952