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13952484 = 22327134259
BaseRepresentation
bin110101001110…
…010111100100
3222020212012200
4311032113210
512032434414
61215014500
7226410540
oct65162744
928225180
1013952484
11796a787
12480a430
132b76910
141bd2a20
151359109
hexd4e5e4

13952484 has 72 divisors (see below), whose sum is σ = 43417920. Its totient is φ = 3678912.

The previous prime is 13952459. The next prime is 13952489. The reversal of 13952484 is 48425931.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (13952489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1147 + ... + 5405.

Almost surely, 213952484 is an apocalyptic number.

13952484 is a gapful number since it is divisible by the number (14) 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 13952484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21708960).

13952484 is an abundant number, since it is smaller than the sum of its proper divisors (29465436).

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

13952484 is a wasteful number, since it uses less digits than its factorization.

13952484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4289 (or 4284 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 13952484 is about 3735.3023973970. The cubic root of 13952484 is about 240.7412499286.

The spelling of 13952484 in words is "thirteen million, nine hundred fifty-two thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 156 182 234 252 273 364 468 546 819 1092 1638 3276 4259 8518 12777 17036 25554 29813 38331 51108 55367 59626 76662 89439 110734 119252 153324 166101 178878 221468 268317 332202 357756 387569 498303 536634 664404 775138 996606 1073268 1162707 1550276 1993212 2325414 3488121 4650828 6976242 13952484