Search a number
-
+
64457328 = 24313531949
BaseRepresentation
bin1111010111100…
…0101001110000
311111021202211110
43311320221300
5113000113303
610221313320
71411610145
oct365705160
9144252743
1064457328
1133425821
1219705840
131047aa40
1487bc3cc
1559d3703
hex3d78a70

64457328 has 80 divisors (see below), whose sum is σ = 182800800. Its totient is φ = 19448832.

The previous prime is 64457299. The next prime is 64457333. The reversal of 64457328 is 82375446.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32098 + ... + 34046.

It is an arithmetic number, because the mean of its divisors is an integer number (2285010).

Almost surely, 264457328 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 64457328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91400400).

64457328 is an abundant number, since it is smaller than the sum of its proper divisors (118343472).

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

64457328 is a wasteful number, since it uses less digits than its factorization.

64457328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2026 (or 2020 counting only the distinct ones).

The product of its digits is 161280, while the sum is 39.

The square root of 64457328 is about 8028.5321198834. The cubic root of 64457328 is about 400.9505062224.

The spelling of 64457328 in words is "sixty-four million, four hundred fifty-seven thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 53 78 104 106 156 159 208 212 312 318 424 624 636 689 848 1272 1378 1949 2067 2544 2756 3898 4134 5512 5847 7796 8268 11024 11694 15592 16536 23388 25337 31184 33072 46776 50674 76011 93552 101348 103297 152022 202696 206594 304044 309891 405392 413188 608088 619782 826376 1216176 1239564 1342861 1652752 2479128 2685722 4028583 4958256 5371444 8057166 10742888 16114332 21485776 32228664 64457328