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1682506144 = 25116771341
BaseRepresentation
bin110010001001001…
…0000000110100000
311100020221011112101
41210102100012200
511421210144034
6434541540144
756460031504
oct14422200640
94306834471
101682506144
11793804850
123ab574654
1320a762a87
1411d650304
159ca9a514
hex644901a0

1682506144 has 48 divisors (see below), whose sum is σ = 3667549536. Its totient is φ = 753350400.

The previous prime is 1682506139. The next prime is 1682506157. The reversal of 1682506144 is 4416052861.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12087 + ... + 59254.

It is an arithmetic number, because the mean of its divisors is an integer number (76407282).

Almost surely, 21682506144 is an apocalyptic number.

It is an amenable number.

1682506144 is an abundant number, since it is smaller than the sum of its proper divisors (1985043392).

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

1682506144 is a wasteful number, since it uses less digits than its factorization.

1682506144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71429 (or 71421 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 37.

The square root of 1682506144 is about 41018.3634973410. The cubic root of 1682506144 is about 1189.3752208408.

The spelling of 1682506144 in words is "one billion, six hundred eighty-two million, five hundred six thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 67 88 134 176 268 352 536 737 1072 1474 2144 2948 5896 11792 23584 71341 142682 285364 570728 784751 1141456 1569502 2282912 3139004 4779847 6278008 9559694 12556016 19119388 25112032 38238776 52578317 76477552 105156634 152955104 210313268 420626536 841253072 1682506144