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64482984 = 23322321693
BaseRepresentation
bin1111010111111…
…0111010101000
311111100002000200
43311332322220
5113001423414
610222032200
71412045016
oct365767250
9144302020
1064482984
1133443025
1219718660
1310489617
1487c78b6
1559db109
hex3d7eea8

64482984 has 72 divisors (see below), whose sum is σ = 182672490. Its totient is φ = 20547648.

The previous prime is 64482973. The next prime is 64482991. The reversal of 64482984 is 48928446.

It can be written as a sum of positive squares in only one way, i.e., 57608100 + 6874884 = 7590^2 + 2622^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 37242 + ... + 38934.

Almost surely, 264482984 is an apocalyptic number.

64482984 is the 5079-th heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64482984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91336245).

64482984 is an abundant number, since it is smaller than the sum of its proper divisors (118189506).

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

64482984 is a wasteful number, since it uses less digits than its factorization.

64482984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1751 (or 1721 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 64482984 is about 8030.1297623388. The cubic root of 64482984 is about 401.0036960458.

The spelling of 64482984 in words is "sixty-four million, four hundred eighty-two thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 184 207 276 414 529 552 828 1058 1587 1656 1693 2116 3174 3386 4232 4761 5079 6348 6772 9522 10158 12696 13544 15237 19044 20316 30474 38088 38939 40632 60948 77878 116817 121896 155756 233634 311512 350451 467268 700902 895597 934536 1401804 1791194 2686791 2803608 3582388 5373582 7164776 8060373 10747164 16120746 21494328 32241492 64482984