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64952032 = 2519317337
BaseRepresentation
bin1111011111000…
…1011011100000
311112012220102211
43313301123200
5113111431112
610240051504
71416040345
oct367613340
9145186384
1064952032
1133733472
1219903b94
13105c1c72
1488aa7cc
155a800a7
hex3df16e0

64952032 has 48 divisors (see below), whose sum is σ = 135429840. Its totient is φ = 30578688.

The previous prime is 64952029. The next prime is 64952071. The reversal of 64952032 is 23025946.

It is a junction number, because it is equal to n+sod(n) for n = 64951985 and 64952003.

It is a congruent 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, 192568 + ... + 192904.

It is an arithmetic number, because the mean of its divisors is an integer number (2821455).

Almost surely, 264952032 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 64952032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67714920).

64952032 is an abundant number, since it is smaller than the sum of its proper divisors (70477808).

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

64952032 is a wasteful number, since it uses less digits than its factorization.

64952032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The square root of 64952032 is about 8059.2823501848. The cubic root of 64952032 is about 401.9736457893.

Adding to 64952032 its reverse (23025946), we get a palindrome (87977978).

The spelling of 64952032 in words is "sixty-four million, nine hundred fifty-two thousand, thirty-two".

Divisors: 1 2 4 8 16 19 32 38 76 152 304 317 337 608 634 674 1268 1348 2536 2696 5072 5392 6023 6403 10144 10784 12046 12806 24092 25612 48184 51224 96368 102448 106829 192736 204896 213658 427316 854632 1709264 2029751 3418528 4059502 8119004 16238008 32476016 64952032