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64463872 = 210115997
BaseRepresentation
bin1111010111101…
…0010000000000
311111022002210211
43311322100000
5113000320442
610221403504
71411635214
oct365722000
9144262724
1064463872
113342a730
1219709594
1310480a05
1487c0944
1559d5617
hex3d7a400

64463872 has 88 divisors (see below), whose sum is σ = 144436320. Its totient is φ = 28508160.

The previous prime is 64463831. The next prime is 64463873. The reversal of 64463872 is 27836446.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (88).

It is not an unprimeable number, because it can be changed into a prime (64463873) 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 7 ways as a sum of consecutive naturals, for example, 664528 + ... + 664624.

Almost surely, 264463872 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 64463872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72218160).

64463872 is an abundant number, since it is smaller than the sum of its proper divisors (79972448).

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

64463872 is a wasteful number, since it uses less digits than its factorization.

64463872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 169 counting only the distinct ones).

The product of its digits is 193536, while the sum is 40.

The square root of 64463872 is about 8028.9396560193. The cubic root of 64463872 is about 400.9640745340.

It can be divided in two parts, 644 and 63872, that added together give a square (64516 = 2542).

The spelling of 64463872 in words is "sixty-four million, four hundred sixty-three thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 32 44 59 64 88 97 118 128 176 194 236 256 352 388 472 512 649 704 776 944 1024 1067 1298 1408 1552 1888 2134 2596 2816 3104 3776 4268 5192 5632 5723 6208 7552 8536 10384 11264 11446 12416 15104 17072 20768 22892 24832 30208 34144 41536 45784 49664 60416 62953 68288 83072 91568 99328 125906 136576 166144 183136 251812 273152 332288 366272 503624 546304 664576 732544 1007248 1092608 1465088 2014496 2930176 4028992 5860352 8057984 16115968 32231936 64463872