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12879152 = 2411132433
BaseRepresentation
bin110001001000…
…010100110000
3220020022212122
4301020110300
511244113102
61140013412
7214320356
oct61102460
926208778
1012879152
1172a7330
124391268
13288c200
1419d37d6
1511e60a2
hexc48530

12879152 has 60 divisors (see below), whose sum is σ = 29544984. Its totient is φ = 5391360.

The previous prime is 12879151. The next prime is 12879179. The reversal of 12879152 is 25197821.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12879151) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29528 + ... + 29960.

Almost surely, 212879152 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 12879152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14772492).

12879152 is an abundant number, since it is smaller than the sum of its proper divisors (16665832).

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

12879152 is a wasteful number, since it uses less digits than its factorization.

12879152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 459 counting only the distinct ones).

The product of its digits is 10080, while the sum is 35.

The square root of 12879152 is about 3588.7535440596. The cubic root of 12879152 is about 234.4025991084.

It can be divided in two parts, 12879 and 152, that added together give a palindrome (13031).

The spelling of 12879152 in words is "twelve million, eight hundred seventy-nine thousand, one hundred fifty-two".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 88 104 143 169 176 208 286 338 433 572 676 866 1144 1352 1732 1859 2288 2704 3464 3718 4763 5629 6928 7436 9526 11258 14872 19052 22516 29744 38104 45032 61919 73177 76208 90064 123838 146354 247676 292708 495352 585416 804947 990704 1170832 1609894 3219788 6439576 12879152