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382467852 = 223313331823
BaseRepresentation
bin10110110010111…
…111111100001100
3222122200101021000
4112302333330030
51240402432402
6101541340300
712322631424
oct2662777414
9878611230
10382467852
11186990838
12a8107690
1361313550
1438b1d484
152389dc1c
hex16cbff0c

382467852 has 96 divisors (see below), whose sum is σ = 1072386560. Its totient is φ = 117184320.

The previous prime is 382467829. The next prime is 382467871. The reversal of 382467852 is 258764283.

It is a junction number, because it is equal to n+sod(n) for n = 382467798 and 382467807.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 464313 + ... + 465135.

Almost surely, 2382467852 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 382467852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536193280).

382467852 is an abundant number, since it is smaller than the sum of its proper divisors (689918708).

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

382467852 is a wasteful number, since it uses less digits than its factorization.

382467852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1180 (or 1172 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 382467852 is about 19556.7853186560. The cubic root of 382467852 is about 725.8802479895.

The spelling of 382467852 in words is "three hundred eighty-two million, four hundred sixty-seven thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 331 351 468 662 702 823 993 1324 1404 1646 1986 2469 2979 3292 3972 4303 4938 5958 7407 8606 8937 9876 10699 11916 12909 14814 17212 17874 21398 22221 25818 29628 32097 35748 38727 42796 44442 51636 64194 77454 88884 96291 116181 128388 154908 192582 232362 272413 288873 385164 464724 544826 577746 817239 1089652 1155492 1634478 2451717 3268956 3541369 4903434 7082738 7355151 9806868 10624107 14165476 14710302 21248214 29420604 31872321 42496428 63744642 95616963 127489284 191233926 382467852