Search a number
-
+
38963652 = 223713311151
BaseRepresentation
bin1001010010100…
…0100111000100
32201022120002020
42110220213010
534433314102
63511043140
7652120440
oct224504704
981276066
1038963652
111aaa2a72
12110704b0
1380c2c20
145263820
153649bbc
hex25289c4

38963652 has 96 divisors (see below), whose sum is σ = 115605504. Its totient is φ = 9936000.

The previous prime is 38963641. The next prime is 38963657. The reversal of 38963652 is 25636983.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (38963657) 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, 33277 + ... + 34427.

It is an arithmetic number, because the mean of its divisors is an integer number (1204224).

Almost surely, 238963652 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 38963652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57802752).

38963652 is an abundant number, since it is smaller than the sum of its proper divisors (76641852).

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

38963652 is a wasteful number, since it uses less digits than its factorization.

38963652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1209 (or 1207 counting only the distinct ones).

The product of its digits is 233280, while the sum is 42.

The square root of 38963652 is about 6242.0871509456. The cubic root of 38963652 is about 339.0157579191.

The spelling of 38963652 in words is "thirty-eight million, nine hundred sixty-three thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 31 39 42 52 62 78 84 91 93 124 156 182 186 217 273 364 372 403 434 546 651 806 868 1092 1151 1209 1302 1612 2302 2418 2604 2821 3453 4604 4836 5642 6906 8057 8463 11284 13812 14963 16114 16926 24171 29926 32228 33852 35681 44889 48342 59852 71362 89778 96684 104741 107043 142724 179556 209482 214086 249767 314223 418964 428172 463853 499534 628446 749301 927706 999068 1256892 1391559 1498602 1855412 2783118 2997204 3246971 5566236 6493942 9740913 12987884 19481826 38963652