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14646044 = 22717291061
BaseRepresentation
bin110111110111…
…101100011100
31000120002121002
4313313230130
512222133134
61241525432
7235326560
oct67675434
930502532
1014646044
1182a3876
124aa3878
13305a4ca
141d336a0
15144487e
hexdf7b1c

14646044 has 48 divisors (see below), whose sum is σ = 32114880. Its totient is φ = 5698560.

The previous prime is 14646029. The next prime is 14646083. The reversal of 14646044 is 44064641.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a junction number, because it is equal to n+sod(n) for n = 14645998 and 14646016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13274 + ... + 14334.

It is an arithmetic number, because the mean of its divisors is an integer number (669060).

Almost surely, 214646044 is an apocalyptic number.

14646044 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 14646044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16057440).

14646044 is an abundant number, since it is smaller than the sum of its proper divisors (17468836).

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

14646044 is a wasteful number, since it uses less digits than its factorization.

14646044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1118 (or 1116 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

The square root of 14646044 is about 3827.0150247941. The cubic root of 14646044 is about 244.6659002897.

The spelling of 14646044 in words is "fourteen million, six hundred forty-six thousand, forty-four".

Divisors: 1 2 4 7 14 17 28 29 34 58 68 116 119 203 238 406 476 493 812 986 1061 1972 2122 3451 4244 6902 7427 13804 14854 18037 29708 30769 36074 61538 72148 123076 126259 215383 252518 430766 505036 523073 861532 1046146 2092292 3661511 7323022 14646044