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5772864 = 263107281
BaseRepresentation
bin10110000001011001000000
3101212021212210
4112001121000
52434212424
6323422120
7100032336
oct26013100
911767783
105772864
113293269
121b24940
1312717c6
14aa3b56
15790729
hex581640

5772864 has 56 divisors (see below), whose sum is σ = 15471648. Its totient is φ = 1899520.

The previous prime is 5772863. The next prime is 5772889. The reversal of 5772864 is 4682775.

It is not an unprimeable number, because it can be changed into a prime (5772863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20404 + ... + 20684.

Almost surely, 25772864 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 5772864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7735824).

5772864 is an abundant number, since it is smaller than the sum of its proper divisors (9698784).

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

5772864 is a wasteful number, since it uses less digits than its factorization.

5772864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 393 counting only the distinct ones).

The product of its digits is 94080, while the sum is 39.

The square root of 5772864 is about 2402.6785053352. The cubic root of 5772864 is about 179.3895369167.

The spelling of 5772864 in words is "five million, seven hundred seventy-two thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 107 192 214 281 321 428 562 642 843 856 1124 1284 1686 1712 2248 2568 3372 3424 4496 5136 6744 6848 8992 10272 13488 17984 20544 26976 30067 53952 60134 90201 120268 180402 240536 360804 481072 721608 962144 1443216 1924288 2886432 5772864