Search a number
-
+
38378904 = 23323251277
BaseRepresentation
bin1001001001100…
…1110110011000
32200012211221220
42102121312120
534311111104
63450332040
7644133564
oct222316630
980184856
1038378904
111a733703
1210a2a020
137c49a15
1451506a4
1535817d9
hex2499d98

38378904 has 64 divisors (see below), whose sum is σ = 100880640. Its totient is φ = 12144000.

The previous prime is 38378891. The next prime is 38378909. The reversal of 38378904 is 40987383.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38378909) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 138414 + ... + 138690.

It is an arithmetic number, because the mean of its divisors is an integer number (1576260).

Almost surely, 238378904 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 38378904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50440320).

38378904 is an abundant number, since it is smaller than the sum of its proper divisors (62501736).

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

38378904 is a wasteful number, since it uses less digits than its factorization.

38378904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 38378904 is about 6195.0709439037. The cubic root of 38378904 is about 337.3112733608.

The spelling of 38378904 in words is "thirty-eight million, three hundred seventy-eight thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 251 276 277 502 552 554 753 831 1004 1108 1506 1662 2008 2216 3012 3324 5773 6024 6371 6648 11546 12742 17319 19113 23092 25484 34638 38226 46184 50968 69276 69527 76452 138552 139054 152904 208581 278108 417162 556216 834324 1599121 1668648 3198242 4797363 6396484 9594726 12792968 19189452 38378904