Search a number
-
+
38795112 = 23341923137
BaseRepresentation
bin1001001111111…
…1011101101000
32200222222220000
42103333131220
534412420422
63503303000
7650516166
oct223773550
980888800
1038795112
111a998384
1210baaa60
1380642b5
14521c236
153614cac
hex24ff768

38795112 has 160 divisors (see below), whose sum is σ = 120225600. Its totient is φ = 11632896.

The previous prime is 38795101. The next prime is 38795137. The reversal of 38795112 is 21159783.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 3.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 283108 + ... + 283244.

It is an arithmetic number, because the mean of its divisors is an integer number (751410).

Almost surely, 238795112 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 38795112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60112800).

38795112 is an abundant number, since it is smaller than the sum of its proper divisors (81430488).

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

38795112 is a wasteful number, since it uses less digits than its factorization.

38795112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 184 counting only the distinct ones).

The product of its digits is 15120, while the sum is 36.

The square root of 38795112 is about 6228.5722280471. The cubic root of 38795112 is about 338.5262393050.

The spelling of 38795112 in words is "thirty-eight million, seven hundred ninety-five thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 19 23 24 27 36 38 46 54 57 69 72 76 81 92 108 114 137 138 152 162 171 184 207 216 228 274 276 324 342 411 414 437 456 513 548 552 621 648 684 822 828 874 1026 1096 1233 1242 1311 1368 1539 1644 1656 1748 1863 2052 2466 2484 2603 2622 3078 3151 3288 3496 3699 3726 3933 4104 4932 4968 5206 5244 6156 6302 7398 7452 7809 7866 9453 9864 10412 10488 11097 11799 12312 12604 14796 14904 15618 15732 18906 20824 22194 23427 23598 25208 28359 29592 31236 31464 35397 37812 44388 46854 47196 56718 59869 62472 70281 70794 75624 85077 88776 93708 94392 113436 119738 140562 141588 170154 179607 187416 210843 226872 239476 255231 281124 283176 340308 359214 421686 478952 510462 538821 562248 680616 718428 843372 1020924 1077642 1436856 1616463 1686744 2041848 2155284 3232926 4310568 4849389 6465852 9698778 12931704 19397556 38795112