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12384252 = 223631137
BaseRepresentation
bin101111001111…
…011111111100
3212022012000000
4233033133330
511132244002
61121234300
7210156456
oct57173774
925265000
1012384252
116a99521
124192990
132747b7a
1419052d6
15114961c
hexbcf7fc

12384252 has 84 divisors (see below), whose sum is σ = 33786816. Its totient is φ = 3965760.

The previous prime is 12384241. The next prime is 12384269. The reversal of 12384252 is 25248321.

12384252 is a `hidden beast` number, since 1 + 238 + 425 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 90328 + ... + 90464.

It is an arithmetic number, because the mean of its divisors is an integer number (402224).

Almost surely, 212384252 is an apocalyptic number.

12384252 is a gapful number since it is divisible by the number (12) 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 12384252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16893408).

12384252 is an abundant number, since it is smaller than the sum of its proper divisors (21402564).

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

12384252 is a wasteful number, since it uses less digits than its factorization.

12384252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 173 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 12384252 is about 3519.1265961883. The cubic root of 12384252 is about 231.3608796733.

The spelling of 12384252 in words is "twelve million, three hundred eighty-four thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 81 93 108 124 137 162 186 243 274 279 324 372 411 486 548 558 729 822 837 972 1116 1233 1458 1644 1674 2466 2511 2916 3348 3699 4247 4932 5022 7398 7533 8494 10044 11097 12741 14796 15066 16988 22194 22599 25482 30132 33291 38223 44388 45198 50964 66582 76446 90396 99873 114669 133164 152892 199746 229338 344007 399492 458676 688014 1032021 1376028 2064042 3096063 4128084 6192126 12384252