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64283968 = 267434771
BaseRepresentation
bin1111010100111…
…0010101000000
311110221222000201
43311032111000
5112424041333
610213454544
71410255550
oct365162500
9143858021
1064283968
1133317551
1219641454
1310419b68
148775160
15599c17d
hex3d4e540

64283968 has 112 divisors (see below), whose sum is σ = 154497024. Its totient is φ = 25966080.

The previous prime is 64283963. The next prime is 64283977. The reversal of 64283968 is 86938246.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64283963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 905373 + ... + 905443.

Almost surely, 264283968 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 64283968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77248512).

64283968 is an abundant number, since it is smaller than the sum of its proper divisors (90213056).

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

64283968 is a wasteful number, since it uses less digits than its factorization.

64283968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 170 counting only the distinct ones).

The product of its digits is 497664, while the sum is 46.

The square root of 64283968 is about 8017.7283565858. The cubic root of 64283968 is about 400.5907271741.

The spelling of 64283968 in words is "sixty-four million, two hundred eighty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 43 47 56 64 71 86 94 112 142 172 188 224 284 301 329 344 376 448 497 568 602 658 688 752 994 1136 1204 1316 1376 1504 1988 2021 2272 2408 2632 2752 3008 3053 3337 3976 4042 4544 4816 5264 6106 6674 7952 8084 9632 10528 12212 13348 14147 15904 16168 19264 21056 21371 23359 24424 26696 28294 31808 32336 42742 46718 48848 53392 56588 64672 85484 93436 97696 106784 113176 129344 143491 170968 186872 195392 213568 226352 286982 341936 373744 452704 573964 683872 747488 905408 1004437 1147928 1367744 1494976 2008874 2295856 4017748 4591712 8035496 9183424 16070992 32141984 64283968