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20432448 = 2632191867
BaseRepresentation
bin100110111110…
…0011001000000
31102110002001100
41031330121000
520212314243
62005534400
7335446551
oct115743100
942402040
1020432448
1110596223
126a14400
13430520a
1429dc328
151bd90d3
hex137c640

20432448 has 84 divisors (see below), whose sum is σ = 61681360. Its totient is φ = 6448896.

The previous prime is 20432437. The next prime is 20432449. The reversal of 20432448 is 84423402.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (20432449) 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, 10011 + ... + 11877.

Almost surely, 220432448 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 20432448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30840680).

20432448 is an abundant number, since it is smaller than the sum of its proper divisors (41248912).

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

20432448 is a wasteful number, since it uses less digits than its factorization.

20432448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1904 (or 1891 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 20432448 is about 4520.2265429954. The cubic root of 20432448 is about 273.3842353479.

The spelling of 20432448 in words is "twenty million, four hundred thirty-two thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 144 152 171 192 228 288 304 342 456 576 608 684 912 1216 1368 1824 1867 2736 3648 3734 5472 5601 7468 10944 11202 14936 16803 22404 29872 33606 35473 44808 59744 67212 70946 89616 106419 119488 134424 141892 179232 212838 268848 283784 319257 358464 425676 537696 567568 638514 851352 1075392 1135136 1277028 1702704 2270272 2554056 3405408 5108112 6810816 10216224 20432448