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13918248 = 2332613169
BaseRepresentation
bin110101000110…
…000000101000
3222012010020200
4311012000220
512030340443
61214152200
7226205661
oct65060050
928163220
1013918248
117946a93
1247b2660
132b64166
141bc4368
15134ddd3
hexd46028

13918248 has 48 divisors (see below), whose sum is σ = 38325300. Its totient is φ = 4561920.

The previous prime is 13918237. The next prime is 13918249. The reversal of 13918248 is 84281931.

It can be written as a sum of positive squares in 2 ways, for example, as 13704804 + 213444 = 3702^2 + 462^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (13918249) 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, 2808 + ... + 5976.

Almost surely, 213918248 is an apocalyptic number.

13918248 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 13918248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19162650).

13918248 is an abundant number, since it is smaller than the sum of its proper divisors (24407052).

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

13918248 is a wasteful number, since it uses less digits than its factorization.

13918248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3242 (or 3235 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 13918248 is about 3730.7168212021. The cubic root of 13918248 is about 240.5441818429.

The spelling of 13918248 in words is "thirteen million, nine hundred eighteen thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 61 72 122 183 244 366 488 549 732 1098 1464 2196 3169 4392 6338 9507 12676 19014 25352 28521 38028 57042 76056 114084 193309 228168 386618 579927 773236 1159854 1546472 1739781 2319708 3479562 4639416 6959124 13918248