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64484460 = 223251013547
BaseRepresentation
bin1111010111111…
…1010001101100
311111100011001100
43311333101230
5113002000320
610222043100
71412052225
oct365772154
9144304040
1064484460
1133444147
1219719490
131048a1b1
1487c824c
1559db790
hex3d7f46c

64484460 has 72 divisors (see below), whose sum is σ = 197595216. Its totient is φ = 17020800.

The previous prime is 64484449. The next prime is 64484471. The reversal of 64484460 is 6448446.

64484460 is a `hidden beast` number, since 644 + 8 + 4 + 4 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (64484449) and next prime (64484471).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a zygodrome in base 3.

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 23 ways as a sum of consecutive naturals, for example, 16407 + ... + 19953.

It is an arithmetic number, because the mean of its divisors is an integer number (2744378).

Almost surely, 264484460 is an apocalyptic number.

64484460 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64484460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98797608).

64484460 is an abundant number, since it is smaller than the sum of its proper divisors (133110756).

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

64484460 is a wasteful number, since it uses less digits than its factorization.

64484460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3663 (or 3658 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 64484460 is about 8030.2216656827. The cubic root of 64484460 is about 401.0067556485.

The spelling of 64484460 in words is "sixty-four million, four hundred eighty-four thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 101 180 202 303 404 505 606 909 1010 1212 1515 1818 2020 3030 3547 3636 4545 6060 7094 9090 10641 14188 17735 18180 21282 31923 35470 42564 53205 63846 70940 106410 127692 159615 212820 319230 358247 638460 716494 1074741 1432988 1791235 2149482 3224223 3582470 4298964 5373705 6448446 7164940 10747410 12896892 16121115 21494820 32242230 64484460