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64500450 = 23527471307
BaseRepresentation
bin1111011000001…
…1001011100010
311111100221222120
43312003023202
5113003003300
610222245110
71412146650
oct366031342
9144327876
1064500450
1133455163
1219726796
1310494561
1487cddd0
1559e13a0
hex3d832e2

64500450 has 96 divisors (see below), whose sum is σ = 186845184. Its totient is φ = 14418240.

The previous prime is 64500409. The next prime is 64500463. The reversal of 64500450 is 5400546.

64500450 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 64500450.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 48697 + ... + 50003.

It is an arithmetic number, because the mean of its divisors is an integer number (1946304).

Almost surely, 264500450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64500450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93422592).

64500450 is an abundant number, since it is smaller than the sum of its proper divisors (122344734).

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

64500450 is a wasteful number, since it uses less digits than its factorization.

64500450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1376 (or 1371 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 64500450 is about 8031.2172178319. The cubic root of 64500450 is about 401.0398983524.

Adding to 64500450 its reverse (5400546), we get a palindrome (69900996).

The spelling of 64500450 in words is "sixty-four million, five hundred thousand, four hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 47 50 70 75 94 105 141 150 175 210 235 282 329 350 470 525 658 705 987 1050 1175 1307 1410 1645 1974 2350 2614 3290 3525 3921 4935 6535 7050 7842 8225 9149 9870 13070 16450 18298 19605 24675 27447 32675 39210 45745 49350 54894 61429 65350 91490 98025 122858 137235 184287 196050 228725 274470 307145 368574 430003 457450 614290 686175 860006 921435 1290009 1372350 1535725 1842870 2150015 2580018 3071450 4300030 4607175 6450045 9214350 10750075 12900090 21500150 32250225 64500450