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64990848 = 2731347277
BaseRepresentation
bin1111011111101…
…0111010000000
311112021212200110
43313322322000
5113114201343
610240551320
71416261456
oct367727200
9145255613
1064990848
113375a64a
1219922540
1310606830
1488ba9d6
155a8b833
hex3dfae80

64990848 has 128 divisors (see below), whose sum is σ = 190552320. Its totient is φ = 19501056.

The previous prime is 64990843. The next prime is 64990859. The reversal of 64990848 is 84809946.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 64990797 and 64990806.

It is not an unprimeable number, because it can be changed into a prime (64990841) 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, 234486 + ... + 234762.

It is an arithmetic number, because the mean of its divisors is an integer number (1488690).

Almost surely, 264990848 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 64990848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95276160).

64990848 is an abundant number, since it is smaller than the sum of its proper divisors (125561472).

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

64990848 is a wasteful number, since it uses less digits than its factorization.

64990848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The square root of 64990848 is about 8061.6901453727. The cubic root of 64990848 is about 402.0537043669.

The spelling of 64990848 in words is "sixty-four million, nine hundred ninety thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 47 48 52 64 78 94 96 104 128 141 156 188 192 208 277 282 312 376 384 416 554 564 611 624 752 831 832 1108 1128 1222 1248 1504 1662 1664 1833 2216 2256 2444 2496 3008 3324 3601 3666 4432 4512 4888 4992 6016 6648 7202 7332 8864 9024 9776 10803 13019 13296 14404 14664 17728 18048 19552 21606 26038 26592 28808 29328 35456 39057 39104 43212 52076 53184 57616 58656 78114 78208 86424 104152 106368 115232 117312 156228 169247 172848 208304 230464 234624 312456 338494 345696 416608 460928 507741 624912 676988 691392 833216 1015482 1249824 1353976 1382784 1666432 2030964 2499648 2707952 4061928 4999296 5415904 8123856 10831808 16247712 21663616 32495424 64990848