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5728752 = 243389149
BaseRepresentation
bin10101110110100111110000
3101210001101000
4111312213300
52431310002
6322442000
766456621
oct25664760
911701330
105728752
113263107
121b03300
1312576c3
14a91a48
1578261c
hex5769f0

5728752 has 80 divisors (see below), whose sum is σ = 16740000. Its totient is φ = 1875456.

The previous prime is 5728741. The next prime is 5728753. The reversal of 5728752 is 2578275.

5728752 is a `hidden beast` number, since 572 + 87 + 5 + 2 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5728753) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38374 + ... + 38522.

It is an arithmetic number, because the mean of its divisors is an integer number (209250).

Almost surely, 25728752 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 5728752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8370000).

5728752 is an abundant number, since it is smaller than the sum of its proper divisors (11011248).

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

5728752 is a wasteful number, since it uses less digits than its factorization.

5728752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 243 counting only the distinct ones).

The product of its digits is 39200, while the sum is 36.

The square root of 5728752 is about 2393.4811467818. The cubic root of 5728752 is about 178.9314469657.

The spelling of 5728752 in words is "five million, seven hundred twenty-eight thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 89 108 144 149 178 216 267 298 356 432 447 534 596 712 801 894 1068 1192 1341 1424 1602 1788 2136 2384 2403 2682 3204 3576 4023 4272 4806 5364 6408 7152 8046 9612 10728 12816 13261 16092 19224 21456 26522 32184 38448 39783 53044 64368 79566 106088 119349 159132 212176 238698 318264 358047 477396 636528 716094 954792 1432188 1909584 2864376 5728752