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64948224 = 211311312
BaseRepresentation
bin1111011111000…
…0100000000000
311112012201012210
43313300200000
5113111320344
610240022120
71416023265
oct367604000
9145181183
1064948224
1133730620
1219901940
13105c0303
1488a926c
155a7ddb9
hex3df0800

64948224 has 144 divisors (see below), whose sum is σ = 195184080. Its totient is φ = 19046400.

The previous prime is 64948207. The next prime is 64948229. The reversal of 64948224 is 42284946.

It is not an unprimeable number, because it can be changed into a prime (64948229) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2095089 + ... + 2095119.

It is an arithmetic number, because the mean of its divisors is an integer number (1355445).

Almost surely, 264948224 is an apocalyptic number.

64948224 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 64948224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97592040).

64948224 is an abundant number, since it is smaller than the sum of its proper divisors (130235856).

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

64948224 is a wasteful number, since it uses less digits than its factorization.

64948224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 47 counting only the distinct ones).

The product of its digits is 110592, while the sum is 39.

The square root of 64948224 is about 8059.0460973989. The cubic root of 64948224 is about 401.9657900147.

Subtracting from 64948224 its reverse (42284946), we obtain a triangular number (22663278 = T6732).

The spelling of 64948224 in words is "sixty-four million, nine hundred forty-eight thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 32 33 44 48 62 64 66 88 93 96 124 128 132 176 186 192 248 256 264 341 352 372 384 496 512 528 682 704 744 768 961 992 1023 1024 1056 1364 1408 1488 1536 1922 1984 2046 2048 2112 2728 2816 2883 2976 3072 3844 3968 4092 4224 5456 5632 5766 5952 6144 7688 7936 8184 8448 10571 10912 11264 11532 11904 15376 15872 16368 16896 21142 21824 22528 23064 23808 30752 31713 31744 32736 33792 42284 43648 46128 47616 61504 63426 63488 65472 67584 84568 87296 92256 95232 123008 126852 130944 169136 174592 184512 190464 246016 253704 261888 338272 349184 369024 492032 507408 523776 676544 698368 738048 984064 1014816 1047552 1353088 1476096 1968128 2029632 2095104 2706176 2952192 4059264 5412352 5904384 8118528 10824704 16237056 21649408 32474112 64948224