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38465220 = 22351743877
BaseRepresentation
bin1001001010111…
…0111011000100
32200101020100210
42102232323010
534321341340
63452235420
7644643333
oct222567304
980336323
1038465220
111a792542
1210a6bb70
137c7a0b1
145173d1a
15359c180
hex24aeec4

38465220 has 96 divisors (see below), whose sum is σ = 116823168. Its totient is φ = 9418752.

The previous prime is 38465213. The next prime is 38465221. The reversal of 38465220 is 2256483.

38465220 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 not an unprimeable number, because it can be changed into a prime (38465221) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 43422 + ... + 44298.

It is an arithmetic number, because the mean of its divisors is an integer number (1216908).

Almost surely, 238465220 is an apocalyptic number.

38465220 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 38465220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58411584).

38465220 is an abundant number, since it is smaller than the sum of its proper divisors (78357948).

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

38465220 is a wasteful number, since it uses less digits than its factorization.

38465220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 949 (or 947 counting only the distinct ones).

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

The square root of 38465220 is about 6202.0335374778. The cubic root of 38465220 is about 337.5639604431.

The spelling of 38465220 in words is "thirty-eight million, four hundred sixty-five thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 43 51 60 68 85 86 102 129 170 172 204 215 255 258 340 430 510 516 645 731 860 877 1020 1290 1462 1754 2193 2580 2631 2924 3508 3655 4385 4386 5262 7310 8770 8772 10524 10965 13155 14620 14909 17540 21930 26310 29818 37711 43860 44727 52620 59636 74545 75422 89454 113133 149090 150844 178908 188555 223635 226266 298180 377110 447270 452532 565665 641087 754220 894540 1131330 1282174 1923261 2262660 2564348 3205435 3846522 6410870 7693044 9616305 12821740 19232610 38465220