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352828763 = 72233110099
BaseRepresentation
bin10101000001111…
…011110101011011
3220120220120001222
4111001323311123
51210311010023
655002202255
711512665200
oct2501736533
9816816058
10352828763
11171187521
129a1b338b
1358136921
1434c05ca7
1520e96cc8
hex1507bd5b

352828763 has 24 divisors (see below), whose sum is σ = 442137600. Its totient is φ = 279916560.

The previous prime is 352828757. The next prime is 352828771. The reversal of 352828763 is 367828253.

It is not a de Polignac number, because 352828763 - 24 = 352828747 is a prime.

It is a super-2 number, since 2×3528287632 = 248976272000220338, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (352828753) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29888 + ... + 39986.

It is an arithmetic number, because the mean of its divisors is an integer number (18422400).

Almost surely, 2352828763 is an apocalyptic number.

352828763 is a deficient number, since it is larger than the sum of its proper divisors (89308837).

352828763 is a wasteful number, since it uses less digits than its factorization.

352828763 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10167 (or 10160 counting only the distinct ones).

The product of its digits is 483840, while the sum is 44.

The square root of 352828763 is about 18783.7366623364. The cubic root of 352828763 is about 706.6233657114.

The spelling of 352828763 in words is "three hundred fifty-two million, eight hundred twenty-eight thousand, seven hundred sixty-three".

Divisors: 1 7 23 31 49 161 217 713 1127 1519 4991 10099 34937 70693 232277 313069 494851 1625939 2191483 7200587 11381573 15340381 50404109 352828763