Search a number
-
+
389525472 = 25327474111
BaseRepresentation
bin10111001101111…
…010111111100000
31000010221221111100
4113031322333200
51244204303342
6102352514400
712436624530
oct2715727740
91003857440
10389525472
1118a971286
12aa54ba00
1362914a5b
1439a394c0
15242e4e4c
hex1737afe0

389525472 has 144 divisors (see below), whose sum is σ = 1293207552. Its totient is φ = 108898560.

The previous prime is 389525467. The next prime is 389525491. The reversal of 389525472 is 274525983.

389525472 is a `hidden beast` number, since 3 + 89 + 525 + 47 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92697 + ... + 96807.

It is an arithmetic number, because the mean of its divisors is an integer number (8980608).

Almost surely, 2389525472 is an apocalyptic number.

389525472 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 389525472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646603776).

389525472 is an abundant number, since it is smaller than the sum of its proper divisors (903682080).

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

389525472 is a wasteful number, since it uses less digits than its factorization.

389525472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4181 (or 4170 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 389525472 is about 19736.3996716726. The cubic root of 389525472 is about 730.3179149464.

The spelling of 389525472 in words is "three hundred eighty-nine million, five hundred twenty-five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 47 48 56 63 72 84 94 96 112 126 141 144 168 188 224 252 282 288 329 336 376 423 504 564 658 672 752 846 987 1008 1128 1316 1504 1692 1974 2016 2256 2632 2961 3384 3948 4111 4512 5264 5922 6768 7896 8222 10528 11844 12333 13536 15792 16444 23688 24666 28777 31584 32888 36999 47376 49332 57554 65776 73998 86331 94752 98664 115108 131552 147996 172662 193217 197328 230216 258993 295992 345324 386434 394656 460432 517986 579651 591984 690648 772868 920864 1035972 1159302 1183968 1352519 1381296 1545736 1738953 2071944 2318604 2705038 2762592 3091472 3477906 4057557 4143888 4637208 5410076 6182944 6955812 8115114 8287776 9274416 10820152 12172671 13911624 16230228 18548832 21640304 24345342 27823248 32460456 43280608 48690684 55646496 64920912 97381368 129841824 194762736 389525472