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14046472 = 23111931271
BaseRepresentation
bin110101100101…
…010100001000
3222102122010201
4311211110020
512043441342
61221021544
7230251546
oct65452410
928378121
1014046472
117a24360
1248548b4
132baa62b
141c18d96
151376db7
hexd65508

14046472 has 64 divisors (see below), whose sum is σ = 31334400. Its totient is φ = 5832000.

The previous prime is 14046463. The next prime is 14046493. The reversal of 14046472 is 27464041.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 14046472.

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, 51697 + ... + 51967.

It is an arithmetic number, because the mean of its divisors is an integer number (489600).

Almost surely, 214046472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14046472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15667200).

14046472 is an abundant number, since it is smaller than the sum of its proper divisors (17287928).

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

14046472 is a wasteful number, since it uses less digits than its factorization.

14046472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The square root of 14046472 is about 3747.8623240455. The cubic root of 14046472 is about 241.2806083924.

Subtracting 14046472 from its reverse (27464041), we obtain a square (13417569 = 36632).

The spelling of 14046472 in words is "fourteen million, forty-six thousand, four hundred seventy-two".

Divisors: 1 2 4 8 11 19 22 31 38 44 62 76 88 124 152 209 248 271 341 418 542 589 682 836 1084 1178 1364 1672 2168 2356 2728 2981 4712 5149 5962 6479 8401 10298 11924 12958 16802 20596 23848 25916 33604 41192 51832 56639 67208 92411 113278 159619 184822 226556 319238 369644 453112 638476 739288 1276952 1755809 3511618 7023236 14046472