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38368968 = 23311237189
BaseRepresentation
bin1001001001011…
…1011011001000
32200012100022220
42102113123020
534310301333
63450214040
7644062611
oct222273310
980170286
1038368968
111a7271a0
1210a24320
137c45341
14514ac08
15357d8b3
hex24976c8

38368968 has 128 divisors (see below), whose sum is σ = 111974400. Its totient is φ = 10841600.

The previous prime is 38368937. The next prime is 38368969. The reversal of 38368968 is 86986383.

It is a self number, because there is not a number n which added to its sum of digits gives 38368968.

It is not an unprimeable number, because it can be changed into a prime (38368969) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 431068 + ... + 431156.

It is an arithmetic number, because the mean of its divisors is an integer number (874800).

Almost surely, 238368968 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 38368968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55987200).

38368968 is an abundant number, since it is smaller than the sum of its proper divisors (73605432).

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

38368968 is a wasteful number, since it uses less digits than its factorization.

38368968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 199 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 51.

The square root of 38368968 is about 6194.2689641313. The cubic root of 38368968 is about 337.2821617593.

The spelling of 38368968 in words is "thirty-eight million, three hundred sixty-eight thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 23 24 33 44 46 66 69 71 88 89 92 132 138 142 178 184 213 253 264 267 276 284 356 426 506 534 552 568 712 759 781 852 979 1012 1068 1518 1562 1633 1704 1958 2024 2047 2136 2343 2937 3036 3124 3266 3916 4094 4686 4899 5874 6072 6141 6248 6319 6532 7832 8188 9372 9798 11748 12282 12638 13064 16376 17963 18744 18957 19596 22517 23496 24564 25276 35926 37914 39192 45034 49128 50552 53889 67551 69509 71852 75828 90068 107778 135102 139018 143704 145337 151656 180136 208527 215556 270204 278036 290674 417054 431112 436011 540408 556072 581348 834108 872022 1162696 1598707 1668216 1744044 3197414 3488088 4796121 6394828 9592242 12789656 19184484 38368968