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66902528 = 297111697
BaseRepresentation
bin1111111100110…
…1101000000000
311122220000000102
43333031220000
5114111340103
610345541532
71441443050
oct377155000
9148800012
1066902528
1134845950
121a4a48a8
1310b259c4
148c57560
155d17e88
hex3fcda00

66902528 has 80 divisors (see below), whose sum is σ = 166757184. Its totient is φ = 26050560.

The previous prime is 66902509. The next prime is 66902569. The reversal of 66902528 is 82520966.

66902528 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 66902491 and 66902500.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38576 + ... + 40272.

Almost surely, 266902528 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 66902528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83378592).

66902528 is an abundant number, since it is smaller than the sum of its proper divisors (99854656).

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

66902528 is a wasteful number, since it uses less digits than its factorization.

66902528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1733 (or 1717 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 38.

The square root of 66902528 is about 8179.3965547588. The cubic root of 66902528 is about 405.9577556409.

The spelling of 66902528 in words is "sixty-six million, nine hundred two thousand, five hundred twenty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 154 176 224 256 308 352 448 512 616 704 896 1232 1408 1697 1792 2464 2816 3394 3584 4928 5632 6788 9856 11879 13576 18667 19712 23758 27152 37334 39424 47516 54304 74668 95032 108608 130669 149336 190064 217216 261338 298672 380128 434432 522676 597344 760256 868864 1045352 1194688 1520512 2090704 2389376 3041024 4181408 4778752 6082048 8362816 9557504 16725632 33451264 66902528