Search a number
-
+
14839552 = 2873132
BaseRepresentation
bin111000100110…
…111100000000
31000220221001001
4320212330000
512244331202
61250021344
7240064000
oct70467400
930827031
1014839552
1184161a2
124b77854
1330c7600
141d84000
151481d87
hexe26f00

14839552 has 108 divisors (see below), whose sum is σ = 37405200. Its totient is φ = 5870592.

The previous prime is 14839547. The next prime is 14839567. The reversal of 14839552 is 25593841.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1141498 + ... + 1141510.

Almost surely, 214839552 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 14839552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18702600).

14839552 is an abundant number, since it is smaller than the sum of its proper divisors (22565648).

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

14839552 is an frugal number, since it uses more digits than its factorization.

14839552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 22 counting only the distinct ones).

The product of its digits is 43200, while the sum is 37.

The square root of 14839552 is about 3852.2139089100. The cubic root of 14839552 is about 245.7387227492.

It can be divided in two parts, 14839 and 552, that multiplied together give a triangular number (8191128 = T4047).

The spelling of 14839552 in words is "fourteen million, eight hundred thirty-nine thousand, five hundred fifty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 49 52 56 64 91 98 104 112 128 169 182 196 208 224 256 338 343 364 392 416 448 637 676 686 728 784 832 896 1183 1274 1352 1372 1456 1568 1664 1792 2366 2548 2704 2744 2912 3136 3328 4459 4732 5096 5408 5488 5824 6272 8281 8918 9464 10192 10816 10976 11648 12544 16562 17836 18928 20384 21632 21952 23296 33124 35672 37856 40768 43264 43904 57967 66248 71344 75712 81536 87808 115934 132496 142688 151424 163072 231868 264992 285376 302848 463736 529984 570752 927472 1059968 1141504 1854944 2119936 3709888 7419776 14839552