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420905853 = 32157297881
BaseRepresentation
bin11001000101101…
…000001101111101
31002100000020021200
4121011220031331
51330222441403
6105433250113
713300432524
oct3105501575
91070006250
10420905853
111a6654885
12b8b63939
1369281124
143dc874bb
1526e42ca3
hex1916837d

420905853 has 12 divisors (see below), whose sum is σ = 611849628. Its totient is φ = 278815680.

The previous prime is 420905783. The next prime is 420905861. The reversal of 420905853 is 358509024.

It can be written as a sum of positive squares in 2 ways, for example, as 80946009 + 339959844 = 8997^2 + 18438^2 .

It is not a de Polignac number, because 420905853 - 212 = 420901757 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420905053) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 147528 + ... + 150353.

It is an arithmetic number, because the mean of its divisors is an integer number (50987469).

Almost surely, 2420905853 is an apocalyptic number.

It is an amenable number.

420905853 is a deficient number, since it is larger than the sum of its proper divisors (190943775).

420905853 is a wasteful number, since it uses less digits than its factorization.

420905853 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298044 (or 298041 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 420905853 is about 20515.9901783950. The cubic root of 420905853 is about 749.4252503296.

The spelling of 420905853 in words is "four hundred twenty million, nine hundred five thousand, eight hundred fifty-three".

Divisors: 1 3 9 157 471 1413 297881 893643 2680929 46767317 140301951 420905853