[go: up one dir, main page]

Search a number
-
+
18025152 = 263269349
BaseRepresentation
bin100010011000…
…0101011000000
31020220202212020
41010300223000
514103301102
61442201440
7306132315
oct104605300
936822766
1018025152
11a1a1622
126053280
133971592
142572d0c
1518b0bbc
hex1130ac0

18025152 has 56 divisors (see below), whose sum is σ = 48006000. Its totient is φ = 5968896.

The previous prime is 18025109. The next prime is 18025157. The reversal of 18025152 is 25152081.

It is a super-2 number, since 2×180251522 = 649812209246208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18025157) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51474 + ... + 51822.

It is an arithmetic number, because the mean of its divisors is an integer number (857250).

Almost surely, 218025152 is an apocalyptic number.

18025152 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 18025152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24003000).

18025152 is an abundant number, since it is smaller than the sum of its proper divisors (29980848).

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

18025152 is a wasteful number, since it uses less digits than its factorization.

18025152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 24.

The square root of 18025152 is about 4245.6038439779. The cubic root of 18025152 is about 262.1961509186.

The spelling of 18025152 in words is "eighteen million, twenty-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 269 349 538 698 807 1047 1076 1396 1614 2094 2152 2792 3228 4188 4304 5584 6456 8376 8608 11168 12912 16752 17216 22336 25824 33504 51648 67008 93881 187762 281643 375524 563286 751048 1126572 1502096 2253144 3004192 4506288 6008384 9012576 18025152