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648035328 = 21031931093
BaseRepresentation
bin100110101000000…
…011110000000000
31200011101121100110
4212220003300000
52311344112303
6144145351320
722026131553
oct4650036000
91604347313
10648035328
11302887596
12161038540
13a4346975
14620cc69a
153bd5a703
hex26a03c00

648035328 has 88 divisors (see below), whose sum is σ = 1737788368. Its totient is φ = 214695936.

The previous prime is 648035321. The next prime is 648035329. The reversal of 648035328 is 823530846.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (648035321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 592350 + ... + 593442.

Almost surely, 2648035328 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 648035328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (868894184).

648035328 is an abundant number, since it is smaller than the sum of its proper divisors (1089753040).

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

648035328 is a wasteful number, since it uses less digits than its factorization.

648035328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1309 (or 1291 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The square root of 648035328 is about 25456.5380207129. The cubic root of 648035328 is about 865.3654677607.

The spelling of 648035328 in words is "six hundred forty-eight million, thirty-five thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 193 256 384 386 512 579 768 772 1024 1093 1158 1536 1544 2186 2316 3072 3088 3279 4372 4632 6176 6558 8744 9264 12352 13116 17488 18528 24704 26232 34976 37056 49408 52464 69952 74112 98816 104928 139904 148224 197632 209856 210949 279808 296448 419712 421898 559616 592896 632847 839424 843796 1119232 1265694 1678848 1687592 2531388 3357696 3375184 5062776 6750368 10125552 13500736 20251104 27001472 40502208 54002944 81004416 108005888 162008832 216011776 324017664 648035328