Search a number
-
+
38456220 = 22351125297
BaseRepresentation
bin1001001010110…
…0101110011100
32200100210000110
42102230232130
534321044340
63452130020
7644605155
oct222545634
980323013
1038456220
111a786800
1210a66910
137c75c7a
14517092c
153599680
hex24acb9c

38456220 has 72 divisors (see below), whose sum is σ = 118378512. Its totient is φ = 9320960.

The previous prime is 38456219. The next prime is 38456251. The reversal of 38456220 is 2265483.

38456220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4612 + ... + 9908.

It is an arithmetic number, because the mean of its divisors is an integer number (1644146).

Almost surely, 238456220 is an apocalyptic number.

38456220 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 38456220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59189256).

38456220 is an abundant number, since it is smaller than the sum of its proper divisors (79922292).

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

38456220 is a wasteful number, since it uses less digits than its factorization.

38456220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5331 (or 5318 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 38456220 is about 6201.3079265587. The cubic root of 38456220 is about 337.5376309206.

The spelling of 38456220 in words is "thirty-eight million, four hundred fifty-six thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 121 132 165 220 242 330 363 484 605 660 726 1210 1452 1815 2420 3630 5297 7260 10594 15891 21188 26485 31782 52970 58267 63564 79455 105940 116534 158910 174801 233068 291335 317820 349602 582670 640937 699204 874005 1165340 1281874 1748010 1922811 2563748 3204685 3496020 3845622 6409370 7691244 9614055 12818740 19228110 38456220