Search a number
-
+
5728401504 = 2532719149551
BaseRepresentation
bin1010101010111000…
…00111100001100000
3112210012222221120200
411111130013201200
543212432322004
62344231305200
7261645416010
oct52534074140
915705887520
105728401504
11247a595921
12113a51b200
13703a334b7
143c4b0dc40
15237d89239
hex155707860

5728401504 has 144 divisors (see below), whose sum is σ = 19597294080. Its totient is φ = 1550534400.

The previous prime is 5728401479. The next prime is 5728401517. The reversal of 5728401504 is 4051048275.

5728401504 is a `hidden beast` number, since 5 + 72 + 84 + 0 + 1 + 504 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×57284015043 (a number of 30 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36472 + ... + 113079.

It is an arithmetic number, because the mean of its divisors is an integer number (136092320).

Almost surely, 25728401504 is an apocalyptic number.

It is an amenable number.

5728401504 is an abundant number, since it is smaller than the sum of its proper divisors (13868892576).

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

5728401504 is a wasteful number, since it uses less digits than its factorization.

5728401504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149593 (or 149582 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 5728401504 is about 75686.2041854392. The cubic root of 5728401504 is about 1789.2779776857.

Adding to 5728401504 its reverse (4051048275), we get a palindrome (9779449779).

The spelling of 5728401504 in words is "five billion, seven hundred twenty-eight million, four hundred one thousand, five hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 28 32 36 38 42 48 56 57 63 72 76 84 96 112 114 126 133 144 152 168 171 224 228 252 266 288 304 336 342 399 456 504 532 608 672 684 798 912 1008 1064 1197 1368 1596 1824 2016 2128 2394 2736 3192 4256 4788 5472 6384 9576 12768 19152 38304 149551 299102 448653 598204 897306 1046857 1196408 1345959 1794612 2093714 2392816 2691918 2841469 3140571 3589224 4187428 4785632 5383836 5682938 6281142 7178448 8374856 8524407 9421713 10767672 11365876 12562284 14356896 16749712 17048814 18843426 19890283 21535344 22731752 25124568 25573221 33499424 34097628 37686852 39780566 43070688 45463504 50249136 51146442 59670849 68195256 75373704 79561132 90927008 100498272 102292884 119341698 136390512 150747408 159122264 179012547 204585768 238683396 272781024 301494816 318244528 358025094 409171536 477366792 636489056 716050188 818343072 954733584 1432100376 1909467168 2864200752 5728401504