Search a number
-
+
38869376 = 277134771
BaseRepresentation
bin1001010001000…
…1100110000000
32201010202202112
42110101212000
534422310001
63505034452
7651245540
oct224214600
981122675
1038869376
111aa39157
1211025a28
13808c040
14523b320
15362bcbb
hex2511980

38869376 has 128 divisors (see below), whose sum is σ = 98703360. Its totient is φ = 14837760.

The previous prime is 38869357. The next prime is 38869387. The reversal of 38869376 is 67396883.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 547421 + ... + 547491.

It is an arithmetic number, because the mean of its divisors is an integer number (771120).

Almost surely, 238869376 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 38869376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49351680).

38869376 is an abundant number, since it is smaller than the sum of its proper divisors (59833984).

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

38869376 is a wasteful number, since it uses less digits than its factorization.

38869376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 140 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 50.

The square root of 38869376 is about 6234.5309366463. The cubic root of 38869376 is about 338.7421108986.

The spelling of 38869376 in words is "thirty-eight million, eight hundred sixty-nine thousand, three hundred seventy-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 47 52 56 64 71 91 94 104 112 128 142 182 188 208 224 284 329 364 376 416 448 497 568 611 658 728 752 832 896 923 994 1136 1222 1316 1456 1504 1664 1846 1988 2272 2444 2632 2912 3008 3337 3692 3976 4277 4544 4888 5264 5824 6016 6461 6674 7384 7952 8554 9088 9776 10528 11648 12922 13348 14768 15904 17108 19552 21056 23359 25844 26696 29536 31808 34216 39104 42112 43381 46718 51688 53392 59072 63616 68432 78208 86762 93436 103376 106784 118144 136864 173524 186872 206752 213568 273728 303667 347048 373744 413504 427136 547456 607334 694096 747488 827008 1214668 1388192 1494976 2429336 2776384 2989952 4858672 5552768 9717344 19434688 38869376