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18838848 = 2637107131
BaseRepresentation
bin100011111011…
…1010101000000
31022110010001010
41013313111000
514310320343
61511440520
7316061520
oct107672500
938403033
1018838848
11a6a79a6
126386140
133b97a62
142705680
1519c1d33
hex11f7540

18838848 has 112 divisors (see below), whose sum is σ = 57936384. Its totient is φ = 5291520.

The previous prime is 18838847. The next prime is 18838889. The reversal of 18838848 is 84883881.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 18838797 and 18838806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18838843) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143743 + ... + 143873.

Almost surely, 218838848 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 18838848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28968192).

18838848 is an abundant number, since it is smaller than the sum of its proper divisors (39097536).

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

18838848 is a wasteful number, since it uses less digits than its factorization.

18838848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 250 counting only the distinct ones).

The product of its digits is 393216, while the sum is 48.

The square root of 18838848 is about 4340.3741774183. The cubic root of 18838848 is about 266.0836038485.

It can be divided in two parts, 1883 and 8848, that added together give a triangular number (10731 = T146).

The spelling of 18838848 in words is "eighteen million, eight hundred thirty-eight thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 107 112 131 168 192 214 224 262 321 336 393 428 448 524 642 672 749 786 856 917 1048 1284 1344 1498 1572 1712 1834 2096 2247 2568 2751 2996 3144 3424 3668 4192 4494 5136 5502 5992 6288 6848 7336 8384 8988 10272 11004 11984 12576 14017 14672 17976 20544 22008 23968 25152 28034 29344 35952 42051 44016 47936 56068 58688 71904 84102 88032 98119 112136 143808 168204 176064 196238 224272 294357 336408 392476 448544 588714 672816 784952 897088 1177428 1345632 1569904 2354856 2691264 3139808 4709712 6279616 9419424 18838848