Search a number
-
+
536408488 = 237211243263
BaseRepresentation
bin11111111110001…
…111000110101000
31101101100101010001
4133332033012220
52044310032423
6125121032344
716202253100
oct3776170650
91341311101
10536408488
11255874700
1212b7856b4
1387191c95
1451352200
153215acad
hex1ff8f1a8

536408488 has 144 divisors (see below), whose sum is σ = 1320913440. Its totient is φ = 203353920.

The previous prime is 536408459. The next prime is 536408501. The reversal of 536408488 is 884804635.

It is a super-2 number, since 2×5364084882 = 575468131996892288, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2039445 + ... + 2039707.

It is an arithmetic number, because the mean of its divisors is an integer number (9173010).

Almost surely, 2536408488 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 536408488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660456720).

536408488 is an abundant number, since it is smaller than the sum of its proper divisors (784504952).

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

536408488 is a wasteful number, since it uses less digits than its factorization.

536408488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 46.

The square root of 536408488 is about 23160.4941225355. The cubic root of 536408488 is about 812.5159226229.

It can be divided in two parts, 53640 and 8488, that added together give a triangular number (62128 = T352).

The spelling of 536408488 in words is "five hundred thirty-six million, four hundred eight thousand, four hundred eighty-eight".

Divisors: 1 2 4 7 8 11 14 22 28 43 44 49 56 77 86 88 98 121 154 172 196 242 263 301 308 344 392 473 484 526 539 602 616 847 946 968 1052 1078 1204 1694 1841 1892 2104 2107 2156 2408 2893 3311 3388 3682 3784 4214 4312 5203 5786 5929 6622 6776 7364 8428 10406 11309 11572 11858 12887 13244 14728 16856 20251 20812 22618 23144 23177 23716 25774 26488 31823 36421 40502 41624 45236 46354 47432 51548 63646 72842 79163 81004 90472 92708 103096 124399 127292 141757 145684 158326 162008 185416 222761 248798 254584 254947 283514 291368 316652 445522 497596 509894 554141 567028 633304 870793 891044 995192 1019788 1108282 1134056 1368389 1559327 1741586 1782088 2039576 2216564 2736778 3118654 3483172 4433128 5473556 6095551 6237308 6966344 9578723 10947112 12191102 12474616 19157446 24382204 38314892 48764408 67051061 76629784 134102122 268204244 536408488