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5285152404 = 22327197315121
BaseRepresentation
bin1001110110000010…
…10000011010010100
3111122022221120010100
410323001100122110
541310444334104
62232235054100
7244654024410
oct47301203224
914568846110
105285152404
112272370254
121035ba1330
13662c5b51c
14381ccbd40
1520ded1139
hex13b050694

5285152404 has 144 divisors (see below), whose sum is σ = 16293047680. Its totient is φ = 1410877440.

The previous prime is 5285152391. The next prime is 5285152417. The reversal of 5285152404 is 4042515825.

5285152404 is a `hidden beast` number, since 52 + 85 + 1 + 524 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (5285152391) and next prime (5285152417).

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

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 341964 + ... + 357084.

Almost surely, 25285152404 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 5285152404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8146523840).

5285152404 is an abundant number, since it is smaller than the sum of its proper divisors (11007895276).

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

5285152404 is a wasteful number, since it uses less digits than its factorization.

5285152404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15230 (or 15225 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 36.

The square root of 5285152404 is about 72699.0536664680. The cubic root of 5285152404 is about 1741.8837664320.

The spelling of 5285152404 in words is "five billion, two hundred eighty-five million, one hundred fifty-two thousand, four hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 57 63 73 76 84 114 126 133 146 171 219 228 252 266 292 342 399 438 511 532 657 684 798 876 1022 1197 1314 1387 1533 1596 2044 2394 2628 2774 3066 4161 4599 4788 5548 6132 8322 9198 9709 12483 15121 16644 18396 19418 24966 29127 30242 38836 45363 49932 58254 60484 87381 90726 105847 116508 136089 174762 181452 211694 272178 287299 317541 349524 423388 544356 574598 635082 861897 952623 1103833 1149196 1270164 1723794 1905246 2011093 2207666 2585691 3311499 3447588 3810492 4022186 4415332 5171382 6033279 6622998 7726831 8044372 9934497 10342764 12066558 13245996 15453662 18099837 19868994 20972827 23180493 24133116 30907324 36199674 39737988 41945654 46360986 62918481 69541479 72399348 83891308 92721972 125836962 139082958 146809789 188755443 251673924 278165916 293619578 377510886 440429367 587239156 755021772 880858734 1321288101 1761717468 2642576202 5285152404