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64808480 = 25511231601
BaseRepresentation
bin1111011100111…
…0011000100000
311111221121112002
43313032120200
5113042332410
610233023132
71414602002
oct367163040
9144847462
1064808480
1133645630
1219854aa8
1310571819
148870372
155a527a5
hex3dce620

64808480 has 96 divisors (see below), whose sum is σ = 174400128. Its totient is φ = 22528000.

The previous prime is 64808473. The next prime is 64808489. The reversal of 64808480 is 8480846.

64808480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (64808489) 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, 39680 + ... + 41280.

It is an arithmetic number, because the mean of its divisors is an integer number (1816668).

Almost surely, 264808480 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 64808480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87200064).

64808480 is an abundant number, since it is smaller than the sum of its proper divisors (109591648).

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

64808480 is a wasteful number, since it uses less digits than its factorization.

64808480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1650 (or 1642 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 38.

The square root of 64808480 is about 8050.3714200029. The cubic root of 64808480 is about 401.6772902462.

The spelling of 64808480 in words is "sixty-four million, eight hundred eight thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 23 32 40 44 46 55 80 88 92 110 115 160 176 184 220 230 253 352 368 440 460 506 736 880 920 1012 1265 1601 1760 1840 2024 2530 3202 3680 4048 5060 6404 8005 8096 10120 12808 16010 17611 20240 25616 32020 35222 36823 40480 51232 64040 70444 73646 88055 128080 140888 147292 176110 184115 256160 281776 294584 352220 368230 405053 563552 589168 704440 736460 810106 1178336 1408880 1472920 1620212 2025265 2817760 2945840 3240424 4050530 5891680 6480848 8101060 12961696 16202120 32404240 64808480