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2493764 = 2271321731
BaseRepresentation
bin1001100000110101000100
311200200210122
421200311010
51114300024
6125241112
730124310
oct11406504
94620718
102493764
111453669
12a03198
13694100
1448cb40
15343d5e
hex260d44

2493764 has 72 divisors (see below), whose sum is σ = 5902848. Its totient is φ = 898560.

The previous prime is 2493749. The next prime is 2493767. The reversal of 2493764 is 4673942.

It is not an unprimeable number, because it can be changed into a prime (2493767) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80429 + ... + 80459.

It is an arithmetic number, because the mean of its divisors is an integer number (81984).

22493764 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 2493764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2951424).

2493764 is an abundant number, since it is smaller than the sum of its proper divisors (3409084).

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

2493764 is a wasteful number, since it uses less digits than its factorization.

2493764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 70 counting only the distinct ones).

The product of its digits is 36288, while the sum is 35.

The square root of 2493764 is about 1579.1656024623. The cubic root of 2493764 is about 135.6079394823.

The spelling of 2493764 in words is "two million, four hundred ninety-three thousand, seven hundred sixty-four".

Divisors: 1 2 4 7 13 14 17 26 28 31 34 52 62 68 91 119 124 169 182 217 221 238 338 364 403 434 442 476 527 676 806 868 884 1054 1183 1547 1612 2108 2366 2821 2873 3094 3689 4732 5239 5642 5746 6188 6851 7378 10478 11284 11492 13702 14756 20111 20956 27404 36673 40222 47957 73346 80444 89063 95914 146692 178126 191828 356252 623441 1246882 2493764