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11452764 = 22317311811
BaseRepresentation
bin101011101100…
…000101011100
3210112212020110
4223230011130
510412442024
61045250020
7166226661
oct53540534
923485213
1011452764
1165126a4
123a03910
1324acbab
141741a68
151013629
hexaec15c

11452764 has 48 divisors (see below), whose sum is σ = 29223936. Its totient is φ = 3475200.

The previous prime is 11452759. The next prime is 11452769. The reversal of 11452764 is 46725411.

11452764 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11452759) and next prime (11452769).

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11452769) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5419 + ... + 7229.

It is an arithmetic number, because the mean of its divisors is an integer number (608832).

Almost surely, 211452764 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 11452764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14611968).

11452764 is an abundant number, since it is smaller than the sum of its proper divisors (17771172).

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

11452764 is a wasteful number, since it uses less digits than its factorization.

11452764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1866 (or 1864 counting only the distinct ones).

The product of its digits is 6720, while the sum is 30.

The square root of 11452764 is about 3384.1932568930. The cubic root of 11452764 is about 225.4084039249.

The spelling of 11452764 in words is "eleven million, four hundred fifty-two thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 12 17 31 34 51 62 68 93 102 124 186 204 372 527 1054 1581 1811 2108 3162 3622 5433 6324 7244 10866 21732 30787 56141 61574 92361 112282 123148 168423 184722 224564 336846 369444 673692 954397 1908794 2863191 3817588 5726382 11452764