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45643472 = 2471989241
BaseRepresentation
bin1010111000011…
…1011011010000
310011212221001222
42232013123100
543141042342
64310144212
71062651230
oct256073320
9104787058
1045643472
1123845686
1213352068
1395c1494
1460c1cc0
154018ed2
hex2b876d0

45643472 has 80 divisors (see below), whose sum is σ = 108028800. Its totient is φ = 18247680.

The previous prime is 45643471. The next prime is 45643489. The reversal of 45643472 is 27434654.

45643472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45643471) 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, 189272 + ... + 189512.

It is an arithmetic number, because the mean of its divisors is an integer number (1350360).

Almost surely, 245643472 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 45643472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54014400).

45643472 is an abundant number, since it is smaller than the sum of its proper divisors (62385328).

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

45643472 is a wasteful number, since it uses less digits than its factorization.

45643472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 358 counting only the distinct ones).

The product of its digits is 80640, while the sum is 35.

The square root of 45643472 is about 6755.9952634678. The cubic root of 45643472 is about 357.3766917883.

The spelling of 45643472 in words is "forty-five million, six hundred forty-three thousand, four hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 19 28 38 56 76 89 112 133 152 178 241 266 304 356 482 532 623 712 964 1064 1246 1424 1687 1691 1928 2128 2492 3374 3382 3856 4579 4984 6748 6764 9158 9968 11837 13496 13528 18316 21449 23674 26992 27056 32053 36632 42898 47348 64106 73264 85796 94696 128212 150143 171592 189392 256424 300286 343184 407531 512848 600572 815062 1201144 1630124 2402288 2852717 3260248 5705434 6520496 11410868 22821736 45643472