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38920284 = 223313191459
BaseRepresentation
bin1001010001111…
…0000001011100
32201020100121000
42110132001130
534430422114
63510110300
7651550134
oct224360134
981210530
1038920284
111aa73427
121104b390
1380a9270
145251ac4
15363be09
hex251e05c

38920284 has 96 divisors (see below), whose sum is σ = 114464000. Its totient is φ = 11337408.

The previous prime is 38920253. The next prime is 38920307. The reversal of 38920284 is 48202983.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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, 25947 + ... + 27405.

Almost surely, 238920284 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 38920284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57232000).

38920284 is an abundant number, since it is smaller than the sum of its proper divisors (75543716).

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

38920284 is a wasteful number, since it uses less digits than its factorization.

38920284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1504 (or 1496 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 38920284 is about 6238.6123457064. The cubic root of 38920284 is about 338.8899321576.

It can be divided in two parts, 38920 and 284, that added together give a square (39204 = 1982).

The spelling of 38920284 in words is "thirty-eight million, nine hundred twenty thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 13 18 19 26 27 36 38 39 52 54 57 76 78 108 114 117 156 171 228 234 247 342 351 468 494 513 684 702 741 988 1026 1404 1459 1482 2052 2223 2918 2964 4377 4446 5836 6669 8754 8892 13131 13338 17508 18967 26262 26676 27721 37934 39393 52524 55442 56901 75868 78786 83163 110884 113802 157572 166326 170703 227604 249489 332652 341406 360373 498978 512109 682812 720746 748467 997956 1024218 1081119 1441492 1496934 2048436 2162238 2993868 3243357 4324476 6486714 9730071 12973428 19460142 38920284