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3528355248 = 243311742499
BaseRepresentation
bin1101001001001110…
…0110110110110000
3100002220020000111000
43102103212312300
524211224331443
61342040522000
7153302344665
oct32223466660
910086200430
103528355248
111550734580
12825780300
13442cb6a92
1425685da6c
15159b5d8d3
hexd24e6db0

3528355248 has 80 divisors (see below), whose sum is σ = 11048400000. Its totient is φ = 1069197120.

The previous prime is 3528355247. The next prime is 3528355307. The reversal of 3528355248 is 8425538253.

3528355248 is a `hidden beast` number, since 3 + 52 + 8 + 3 + 552 + 48 = 666.

3528355248 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (3528355247) 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, 366498 + ... + 376001.

It is an arithmetic number, because the mean of its divisors is an integer number (138105000).

Almost surely, 23528355248 is an apocalyptic number.

It is an amenable number.

3528355248 is an abundant number, since it is smaller than the sum of its proper divisors (7520044752).

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

3528355248 is a wasteful number, since it uses less digits than its factorization.

3528355248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 742527 (or 742515 counting only the distinct ones).

The product of its digits is 1152000, while the sum is 45.

The square root of 3528355248 is about 59399.9599999865. The cubic root of 3528355248 is about 1522.3836170106.

It can be divided in two parts, 35283552 and 48, that added together give a square (35283600 = 59402).

The spelling of 3528355248 in words is "three billion, five hundred twenty-eight million, three hundred fifty-five thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 176 198 216 264 297 396 432 528 594 792 1188 1584 2376 4752 742499 1484998 2227497 2969996 4454994 5939992 6682491 8167489 8909988 11879984 13364982 16334978 17819976 20047473 24502467 26729964 32669956 35639952 40094946 49004934 53459928 65339912 73507401 80189892 98009868 106919856 130679824 147014802 160379784 196019736 220522203 294029604 320759568 392039472 441044406 588059208 882088812 1176118416 1764177624 3528355248