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21472464 = 2431322647
BaseRepresentation
bin101000111101…
…0010011010000
31111101220200110
41101322103100
520444104324
62044121320
7350340636
oct121722320
944356613
1021472464
1111136642
127236240
1345aa700
142bcd356
151d42329
hex147a4d0

21472464 has 60 divisors (see below), whose sum is σ = 60088416. Its totient is φ = 6604416.

The previous prime is 21472463. The next prime is 21472481. The reversal of 21472464 is 46427412.

It is a super-2 number, since 2×214724642 = 922133420462592, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21472463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6789 + ... + 9435.

Almost surely, 221472464 is an apocalyptic number.

21472464 is a gapful number since it is divisible by the number (24) 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 21472464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30044208).

21472464 is an abundant number, since it is smaller than the sum of its proper divisors (38615952).

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

21472464 is a wasteful number, since it uses less digits than its factorization.

21472464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2684 (or 2665 counting only the distinct ones).

The product of its digits is 10752, while the sum is 30.

The square root of 21472464 is about 4633.8390131726. The cubic root of 21472464 is about 277.9461276146.

Adding to 21472464 its reverse (46427412), we get a palindrome (67899876).

The spelling of 21472464 in words is "twenty-one million, four hundred seventy-two thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 169 208 312 338 507 624 676 1014 1352 2028 2647 2704 4056 5294 7941 8112 10588 15882 21176 31764 34411 42352 63528 68822 103233 127056 137644 206466 275288 412932 447343 550576 825864 894686 1342029 1651728 1789372 2684058 3578744 5368116 7157488 10736232 21472464