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2535064 = 237229223
BaseRepresentation
bin1001101010111010011000
311202210110021
421222322120
51122110224
6130200224
730355600
oct11527230
94683407
102535064
1114816a4
12a23074
136a9b4c
1449dc00
153511e4
hex26ae98

2535064 has 48 divisors (see below), whose sum is σ = 5745600. Its totient is φ = 1044288.

The previous prime is 2535059. The next prime is 2535067. The reversal of 2535064 is 4605352.

2535064 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 (2535067) 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, 11257 + ... + 11479.

It is an arithmetic number, because the mean of its divisors is an integer number (119700).

22535064 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 2535064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2872800).

2535064 is an abundant number, since it is smaller than the sum of its proper divisors (3210536).

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

2535064 is a wasteful number, since it uses less digits than its factorization.

2535064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

The square root of 2535064 is about 1592.1884310596. The cubic root of 2535064 is about 136.3524594745.

The spelling of 2535064 in words is "two million, five hundred thirty-five thousand, sixty-four".

Divisors: 1 2 4 7 8 14 28 29 49 56 58 98 116 196 203 223 232 392 406 446 812 892 1421 1561 1624 1784 2842 3122 5684 6244 6467 10927 11368 12488 12934 21854 25868 43708 45269 51736 87416 90538 181076 316883 362152 633766 1267532 2535064