Search a number
-
+
64276704 = 2532534211
BaseRepresentation
bin1111010100110…
…0100011100000
311110221121001200
43311030203200
5112423323304
610213401200
71410225432
oct365144340
9143847050
1064276704
1133312048
1219639200
131041676b
148772652
155999e39
hex3d4c8e0

64276704 has 72 divisors (see below), whose sum is σ = 186279912. Its totient is φ = 21016320.

The previous prime is 64276699. The next prime is 64276717. The reversal of 64276704 is 40767246.

64276704 is a `hidden beast` number, since 642 + 7 + 6 + 7 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13159 + ... + 17369.

It is an arithmetic number, because the mean of its divisors is an integer number (2587221).

Almost surely, 264276704 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 64276704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93139956).

64276704 is an abundant number, since it is smaller than the sum of its proper divisors (122003208).

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

64276704 is a wasteful number, since it uses less digits than its factorization.

64276704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4280 (or 4269 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 64276704 is about 8017.2753476477. The cubic root of 64276704 is about 400.5756378719.

It can be divided in two parts, 64276 and 704, that added together give a triangular number (64980 = T360).

The spelling of 64276704 in words is "sixty-four million, two hundred seventy-six thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 72 96 106 144 159 212 288 318 424 477 636 848 954 1272 1696 1908 2544 3816 4211 5088 7632 8422 12633 15264 16844 25266 33688 37899 50532 67376 75798 101064 134752 151596 202128 223183 303192 404256 446366 606384 669549 892732 1212768 1339098 1785464 2008647 2678196 3570928 4017294 5356392 7141856 8034588 10712784 16069176 21425568 32138352 64276704