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38826420 = 223543101149
BaseRepresentation
bin1001010000011…
…1000110110100
32201001120211120
42110013012310
534414421140
63504103540
7651006363
oct224070664
981046746
1038826420
111aa09956
1211004bb0
138075619
1452297da
15361e1d0
hex25071b4

38826420 has 96 divisors (see below), whose sum is σ = 113097600. Its totient is φ = 9945600.

The previous prime is 38826413. The next prime is 38826451. The reversal of 38826420 is 2462883.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

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, 260506 + ... + 260654.

It is an arithmetic number, because the mean of its divisors is an integer number (1178100).

Almost surely, 238826420 is an apocalyptic number.

38826420 is a gapful number since it is divisible by the number (30) 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 38826420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56548800).

38826420 is an abundant number, since it is smaller than the sum of its proper divisors (74271180).

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

38826420 is a wasteful number, since it uses less digits than its factorization.

38826420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 38826420 is about 6231.0849777547. The cubic root of 38826420 is about 338.6172793801.

The spelling of 38826420 in words is "thirty-eight million, eight hundred twenty-six thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 60 86 101 129 149 172 202 215 258 298 303 404 430 447 505 516 596 606 645 745 860 894 1010 1212 1290 1490 1515 1788 2020 2235 2580 2980 3030 4343 4470 6060 6407 8686 8940 12814 13029 15049 17372 19221 21715 25628 26058 30098 32035 38442 43430 45147 52116 60196 64070 65145 75245 76884 86860 90294 96105 128140 130290 150490 180588 192210 225735 260580 300980 384420 451470 647107 902940 1294214 1941321 2588428 3235535 3882642 6471070 7765284 9706605 12942140 19413210 38826420