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64651968 = 26321071049
BaseRepresentation
bin1111011010100…
…0001011000000
311111122122211100
43312220023000
5113022330333
610225414400
71413350463
oct366501300
9144578740
1064651968
1133548a87
121979a400
1310518504
14882d2da
155a21213
hex3da82c0

64651968 has 84 divisors (see below), whose sum is σ = 187223400. Its totient is φ = 21328896.

The previous prime is 64651963. The next prime is 64651973. The reversal of 64651968 is 86915646.

It is an interprime number because it is at equal distance from previous prime (64651963) and next prime (64651973).

It is not an unprimeable number, because it can be changed into a prime (64651963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61108 + ... + 62156.

It is an arithmetic number, because the mean of its divisors is an integer number (2228850).

Almost surely, 264651968 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 64651968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93611700).

64651968 is an abundant number, since it is smaller than the sum of its proper divisors (122571432).

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

64651968 is a wasteful number, since it uses less digits than its factorization.

64651968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1174 (or 1161 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 64651968 is about 8040.6447502672. The cubic root of 64651968 is about 401.3536803725.

The spelling of 64651968 in words is "sixty-four million, six hundred fifty-one thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 107 144 192 214 288 321 428 576 642 856 963 1049 1284 1712 1926 2098 2568 3147 3424 3852 4196 5136 6294 6848 7704 8392 9441 10272 12588 15408 16784 18882 20544 25176 30816 33568 37764 50352 61632 67136 75528 100704 112243 151056 201408 224486 302112 336729 448972 604224 673458 897944 1010187 1346916 1795888 2020374 2693832 3591776 4040748 5387664 7183552 8081496 10775328 16162992 21550656 32325984 64651968