Search a number
-
+
64932864 = 210323919
BaseRepresentation
bin1111011110110…
…0110000000000
311112011221010220
43313230300000
5113110322424
610235423040
71415630433
oct367546000
9145157126
1064932864
1133720027
12198b4a80
13105b6319
1488a381a
155a79579
hex3decc00

64932864 has 88 divisors (see below), whose sum is σ = 180791040. Its totient is φ = 20680704.

The previous prime is 64932839. The next prime is 64932883. The reversal of 64932864 is 46823946.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 70197 + ... + 71115.

Almost surely, 264932864 is an apocalyptic number.

64932864 is a gapful number since it is divisible by the number (64) 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 64932864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90395520).

64932864 is an abundant number, since it is smaller than the sum of its proper divisors (115858176).

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

64932864 is a wasteful number, since it uses less digits than its factorization.

64932864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 965 (or 947 counting only the distinct ones).

The product of its digits is 248832, while the sum is 42.

The square root of 64932864 is about 8058.0930746672. The cubic root of 64932864 is about 401.9340997393.

The spelling of 64932864 in words is "sixty-four million, nine hundred thirty-two thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 256 276 368 384 512 552 736 768 919 1024 1104 1472 1536 1838 2208 2757 2944 3072 3676 4416 5514 5888 7352 8832 11028 11776 14704 17664 21137 22056 23552 29408 35328 42274 44112 58816 63411 70656 84548 88224 117632 126822 169096 176448 235264 253644 338192 352896 470528 507288 676384 705792 941056 1014576 1352768 1411584 2029152 2705536 2823168 4058304 5411072 8116608 10822144 16233216 21644288 32466432 64932864