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5796864 = 210321737
BaseRepresentation
bin10110000111010000000000
3101220111210200
4112013100000
52440444424
6324125200
7100162323
oct26072000
911814720
105796864
1132aa2a7
121b36800
13127c6c8
14aac7ba
157978c9
hex587400

5796864 has 132 divisors (see below), whose sum is σ = 18201924. Its totient is φ = 1769472.

The previous prime is 5796863. The next prime is 5796893. The reversal of 5796864 is 4686975.

It can be written as a sum of positive squares in 2 ways, for example, as 4875264 + 921600 = 2208^2 + 960^2 .

Its product of digits (362880) is a multiple of the sum of its prime factors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5796863) 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 11 ways as a sum of consecutive naturals, for example, 156654 + ... + 156690.

Almost surely, 25796864 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 5796864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9100962).

5796864 is an abundant number, since it is smaller than the sum of its proper divisors (12405060).

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

5796864 is a wasteful number, since it uses less digits than its factorization.

5796864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 59 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 5796864 is about 2407.6677511650. The cubic root of 5796864 is about 179.6377901408.

The spelling of 5796864 in words is "five million, seven hundred ninety-six thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 37 48 51 64 68 72 74 96 102 111 128 136 144 148 153 192 204 222 256 272 288 296 306 333 384 408 444 512 544 576 592 612 629 666 768 816 888 1024 1088 1152 1184 1224 1258 1332 1536 1632 1776 1887 2176 2304 2368 2448 2516 2664 3072 3264 3552 3774 4352 4608 4736 4896 5032 5328 5661 6528 7104 7548 8704 9216 9472 9792 10064 10656 11322 13056 14208 15096 17408 18944 19584 20128 21312 22644 26112 28416 30192 37888 39168 40256 42624 45288 52224 56832 60384 78336 80512 85248 90576 113664 120768 156672 161024 170496 181152 241536 322048 340992 362304 483072 644096 724608 966144 1449216 1932288 2898432 5796864