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38607228 = 22321128863
BaseRepresentation
bin1001001101000…
…1100101111100
32200122110011100
42103101211330
534340412403
63455253100
7646104342
oct223214574
980573140
1038607228
111a87a200
1210b1a190
137cc991a
1451ad992
1535c92a3
hex24d197c

38607228 has 54 divisors (see below), whose sum is σ = 107280992. Its totient is φ = 11697840.

The previous prime is 38607223. The next prime is 38607251. The reversal of 38607228 is 82270683.

It is a happy number.

38607228 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 38607192 and 38607201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38607223) 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 17 ways as a sum of consecutive naturals, for example, 76 + ... + 8787.

Almost surely, 238607228 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 38607228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53640496).

38607228 is an abundant number, since it is smaller than the sum of its proper divisors (68673764).

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

38607228 is a wasteful number, since it uses less digits than its factorization.

38607228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8895 (or 8879 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 38607228 is about 6213.4714934568. The cubic root of 38607228 is about 337.9788626302.

The spelling of 38607228 in words is "thirty-eight million, six hundred seven thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 1089 1452 2178 4356 8863 17726 26589 35452 53178 79767 97493 106356 159534 194986 292479 319068 389972 584958 877437 1072423 1169916 1754874 2144846 3217269 3509748 4289692 6434538 9651807 12869076 19303614 38607228