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2529972 = 2232312267
BaseRepresentation
bin1001101001101010110100
311202112110200
421221222310
51121424342
6130120500
730335004
oct11515264
94675420
102529972
111478895
12a20130
136a7733
1449c004
1534e94c
hex269ab4

2529972 has 36 divisors (see below), whose sum is σ = 6604416. Its totient is φ = 815760.

The previous prime is 2529971. The next prime is 2529997. The reversal of 2529972 is 2799252.

2529972 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2529971) 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 11 ways as a sum of consecutive naturals, for example, 18 + ... + 2249.

It is an arithmetic number, because the mean of its divisors is an integer number (183456).

22529972 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 2529972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3302208).

2529972 is an abundant number, since it is smaller than the sum of its proper divisors (4074444).

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

2529972 is a wasteful number, since it uses less digits than its factorization.

2529972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2308 (or 2303 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The square root of 2529972 is about 1590.5885703097. The cubic root of 2529972 is about 136.2611045013.

The spelling of 2529972 in words is "two million, five hundred twenty-nine thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 558 1116 2267 4534 6801 9068 13602 20403 27204 40806 70277 81612 140554 210831 281108 421662 632493 843324 1264986 2529972