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1457066625 = 3537555073
BaseRepresentation
bin101011011011001…
…0001001010000001
310202112201122122120
41112312101022001
510441002113000
6400325554453
751051601440
oct12666211201
93675648576
101457066625
116885267a3
12347b75a29
131a2b3c501
14db728d57
1587db86a0
hex56d91281

1457066625 has 32 divisors (see below), whose sum is σ = 2770929408. Its totient is φ = 666086400.

The previous prime is 1457066587. The next prime is 1457066627. The reversal of 1457066625 is 5266607541.

It is not a de Polignac number, because 1457066625 - 26 = 1457066561 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1457066627) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 274912 + ... + 280161.

It is an arithmetic number, because the mean of its divisors is an integer number (86591544).

Almost surely, 21457066625 is an apocalyptic number.

1457066625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1457066625 is a deficient number, since it is larger than the sum of its proper divisors (1313862783).

1457066625 is an equidigital number, since it uses as much as digits as its factorization.

1457066625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555098 (or 555088 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The square root of 1457066625 is about 38171.5420830754. The cubic root of 1457066625 is about 1133.6869223039.

The spelling of 1457066625 in words is "one billion, four hundred fifty-seven million, sixty-six thousand, six hundred twenty-five".

Divisors: 1 3 5 7 15 21 25 35 75 105 125 175 375 525 875 2625 555073 1665219 2775365 3885511 8326095 11656533 13876825 19427555 41630475 58282665 69384125 97137775 208152375 291413325 485688875 1457066625