Search a number
-
+
12948948 = 22323141283
BaseRepresentation
bin110001011001…
…010111010100
3220100212121200
4301121113110
511303331243
61141312500
7215031015
oct61312724
926325550
1012948948
117344811
124405730
1328b4bcc
141a1100c
15120bad3
hexc595d4

12948948 has 72 divisors (see below), whose sum is σ = 34734336. Its totient is φ = 4060800.

The previous prime is 12948911. The next prime is 12948961. The reversal of 12948948 is 84984921.

12948948 is a `hidden beast` number, since 129 + 489 + 48 = 666.

12948948 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 45615 + ... + 45897.

Almost surely, 212948948 is an apocalyptic number.

12948948 is a gapful number since it is divisible by the number (18) 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 12948948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17367168).

12948948 is an abundant number, since it is smaller than the sum of its proper divisors (21785388).

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

12948948 is a wasteful number, since it uses less digits than its factorization.

12948948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 360 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 12948948 is about 3598.4646726069. The cubic root of 12948948 is about 234.8252692385.

The spelling of 12948948 in words is "twelve million, nine hundred forty-eight thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 31 36 41 62 82 93 123 124 164 186 246 279 283 369 372 492 558 566 738 849 1116 1132 1271 1476 1698 2542 2547 3396 3813 5084 5094 7626 8773 10188 11439 11603 15252 17546 22878 23206 26319 34809 35092 45756 46412 52638 69618 78957 104427 105276 139236 157914 208854 315828 359693 417708 719386 1079079 1438772 2158158 3237237 4316316 6474474 12948948