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114784848 = 243271103109
BaseRepresentation
bin1101101011101…
…11101001010000
321222222200012200
412311313221100
5213341103343
615220123200
72562440463
oct665675120
9258880180
10114784848
115987a612
1232536500
131aa1c239
141135d2da
15a1254d3
hex6d77a50

114784848 has 120 divisors (see below), whose sum is σ = 331943040. Its totient is φ = 37013760.

The previous prime is 114784837. The next prime is 114784877. The reversal of 114784848 is 848487411.

It is a happy number.

It is a super-2 number, since 2×1147848482 = 26351122660766208, which contains 22 as substring.

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, 1053018 + ... + 1053126.

It is an arithmetic number, because the mean of its divisors is an integer number (2766192).

Almost surely, 2114784848 is an apocalyptic number.

114784848 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114784848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165971520).

114784848 is an abundant number, since it is smaller than the sum of its proper divisors (217158192).

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

114784848 is a wasteful number, since it uses less digits than its factorization.

114784848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 288 counting only the distinct ones).

The product of its digits is 229376, while the sum is 45.

The square root of 114784848 is about 10713.7690846872. The cubic root of 114784848 is about 485.9909564948.

The spelling of 114784848 in words is "one hundred fourteen million, seven hundred eighty-four thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 71 72 103 109 142 144 206 213 218 284 309 327 412 426 436 568 618 639 654 824 852 872 927 981 1136 1236 1278 1308 1648 1704 1744 1854 1962 2472 2556 2616 3408 3708 3924 4944 5112 5232 7313 7416 7739 7848 10224 11227 14626 14832 15478 15696 21939 22454 23217 29252 30956 33681 43878 44908 46434 58504 61912 65817 67362 69651 87756 89816 92868 101043 117008 123824 131634 134724 139302 175512 179632 185736 202086 263268 269448 278604 351024 371472 404172 526536 538896 557208 797117 808344 1053072 1114416 1594234 1616688 2391351 3188468 4782702 6376936 7174053 9565404 12753872 14348106 19130808 28696212 38261616 57392424 114784848