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38420148 = 22313972539
BaseRepresentation
bin1001001010001…
…1111010110100
32200021221112110
42102203322310
534313421043
63451251020
7644365044
oct222437264
980257473
1038420148
111a761698
1210a49a70
137c62720
145161724
15358db33
hex24a3eb4

38420148 has 48 divisors (see below), whose sum is σ = 97576640. Its totient is φ = 11695104.

The previous prime is 38420131. The next prime is 38420183. The reversal of 38420148 is 84102483.

38420148 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×384201482 = 2952215544683808, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 13863 + ... + 16401.

Almost surely, 238420148 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 38420148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48788320).

38420148 is an abundant number, since it is smaller than the sum of its proper divisors (59156492).

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

38420148 is a wasteful number, since it uses less digits than its factorization.

38420148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2656 (or 2654 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 38420148 is about 6198.3988255032. The cubic root of 38420148 is about 337.4320609475.

The spelling of 38420148 in words is "thirty-eight million, four hundred twenty thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 97 156 194 291 388 582 1164 1261 2522 2539 3783 5044 5078 7566 7617 10156 15132 15234 30468 33007 66014 99021 132028 198042 246283 396084 492566 738849 985132 1477698 2955396 3201679 6403358 9605037 12806716 19210074 38420148