Search a number
-
+
38460352 = 2672932
BaseRepresentation
bin1001001010110…
…1101111000000
32200100222200111
42102231233000
534321212402
63452201104
7644623210
oct222555700
980328614
1038460352
111a789917
1210a69194
137c77b08
145172240
15359a9d7
hex24adbc0

38460352 has 42 divisors (see below), whose sum is σ = 87521288. Its totient is φ = 16426752.

The previous prime is 38460349. The next prime is 38460391. The reversal of 38460352 is 25306483.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 131118 + ... + 131410.

Almost surely, 238460352 is an apocalyptic number.

38460352 is a gapful number since it is divisible by the number (32) 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 38460352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43760644).

38460352 is an abundant number, since it is smaller than the sum of its proper divisors (49060936).

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

38460352 is an frugal number, since it uses more digits than its factorization.

38460352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The square root of 38460352 is about 6201.6410731354. The cubic root of 38460352 is about 337.5497196069.

The spelling of 38460352 in words is "thirty-eight million, four hundred sixty thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 293 448 586 1172 2051 2344 4102 4688 8204 9376 16408 18752 32816 65632 85849 131264 171698 343396 600943 686792 1201886 1373584 2403772 2747168 4807544 5494336 9615088 19230176 38460352