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64649664 = 26354157
BaseRepresentation
bin1111011010011…
…1100111000000
311111122112200000
43312213213000
5113022242124
610225400000
71413340662
oct366474700
9144575600
1064649664
1133547282
1219799000
1310517451
14882c532
155a206c9
hex3da79c0

64649664 has 84 divisors (see below), whose sum is σ = 192216024. Its totient is φ = 21544704.

The previous prime is 64649653. The next prime is 64649699. The reversal of 64649664 is 46694646.

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13474 + ... + 17630.

It is an arithmetic number, because the mean of its divisors is an integer number (2288286).

Almost surely, 264649664 is an apocalyptic number.

64649664 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 64649664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96108012).

64649664 is an abundant number, since it is smaller than the sum of its proper divisors (127566360).

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

64649664 is an equidigital number, since it uses as much as digits as its factorization.

64649664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4184 (or 4162 counting only the distinct ones).

The product of its digits is 746496, while the sum is 45.

The square root of 64649664 is about 8040.5014768981. The cubic root of 64649664 is about 401.3489126400.

The spelling of 64649664 in words is "sixty-four million, six hundred forty-nine thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 648 864 972 1296 1728 1944 2592 3888 4157 5184 7776 8314 12471 15552 16628 24942 33256 37413 49884 66512 74826 99768 112239 133024 149652 199536 224478 266048 299304 336717 399072 448956 598608 673434 798144 897912 1010151 1197216 1346868 1795824 2020302 2394432 2693736 3591648 4040604 5387472 7183296 8081208 10774944 16162416 21549888 32324832 64649664