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14064948 = 2233314201
BaseRepresentation
bin110101101001…
…110100110100
3222110120111000
4311221310310
512100034243
61221243300
7230356452
oct65516464
928416430
1014064948
117a37227
124863530
132bb5b71
141c219d2
15137c5d3
hexd69d34

14064948 has 48 divisors (see below), whose sum is σ = 37649920. Its totient is φ = 4536000.

The previous prime is 14064901. The next prime is 14064949. The reversal of 14064948 is 84946041.

It is a happy number.

14064948 is a `hidden beast` number, since 1 + 4 + 0 + 649 + 4 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14064949) 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 15 ways as a sum of consecutive naturals, for example, 1248 + ... + 5448.

Almost surely, 214064948 is an apocalyptic number.

14064948 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 14064948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18824960).

14064948 is an abundant number, since it is smaller than the sum of its proper divisors (23584972).

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

14064948 is a wasteful number, since it uses less digits than its factorization.

14064948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4245 (or 4237 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 14064948 is about 3750.3263857963. The cubic root of 14064948 is about 241.3863513714.

The spelling of 14064948 in words is "fourteen million, sixty-four thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 93 108 124 186 279 372 558 837 1116 1674 3348 4201 8402 12603 16804 25206 37809 50412 75618 113427 130231 151236 226854 260462 390693 453708 520924 781386 1172079 1562772 2344158 3516237 4688316 7032474 14064948