Search a number
-
+
53504808 = 23372361227
BaseRepresentation
bin1100110000011…
…0101100101000
310201200022210120
43030012230220
5102144123213
65150443240
71216532460
oct314065450
9121608716
1053504808
1128224a55
1215b03520
13b114766
14716aba0
154a6d423
hex3306b28

53504808 has 128 divisors (see below), whose sum is σ = 162846720. Its totient is φ = 14319360.

The previous prime is 53504807. The next prime is 53504827. The reversal of 53504808 is 80840535.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (53504807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 235591 + ... + 235817.

It is an arithmetic number, because the mean of its divisors is an integer number (1272240).

Almost surely, 253504808 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 53504808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81423360).

53504808 is an abundant number, since it is smaller than the sum of its proper divisors (109341912).

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

53504808 is a wasteful number, since it uses less digits than its factorization.

53504808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 53504808 is about 7314.6980798937. The cubic root of 53504808 is about 376.8173895806.

The spelling of 53504808 in words is "fifty-three million, five hundred four thousand, eight hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 42 46 56 61 69 84 92 122 138 161 168 183 184 227 244 276 322 366 427 454 483 488 552 644 681 732 854 908 966 1281 1288 1362 1403 1464 1589 1708 1816 1932 2562 2724 2806 3178 3416 3864 4209 4767 5124 5221 5448 5612 6356 8418 9534 9821 10248 10442 11224 12712 13847 15663 16836 19068 19642 20884 27694 29463 31326 33672 36547 38136 39284 41541 41768 55388 58926 62652 73094 78568 83082 96929 109641 110776 117852 125304 146188 166164 193858 219282 235704 290787 292376 318481 332328 387716 438564 581574 636962 775432 877128 955443 1163148 1273924 1910886 2229367 2326296 2547848 3821772 4458734 6688101 7643544 8917468 13376202 17834936 26752404 53504808