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213808049 = 7137929741
BaseRepresentation
bin11001011111001…
…11001110110001
3112220022120111122
430233213032301
5414213324144
633114352025
75204224040
oct1457471661
9486276448
10213808049
11aa764174
125b72b615
13353b0250
1420578557
1513b857ee
hexcbe73b1

213808049 has 16 divisors (see below), whose sum is σ = 266488320. Its totient is φ = 167019840.

The previous prime is 213808043. The next prime is 213808057. The reversal of 213808049 is 940808312.

It is a happy number.

It is not a de Polignac number, because 213808049 - 24 = 213808033 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (213808043) 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 15 ways as a sum of consecutive naturals, for example, 7682 + ... + 22059.

It is an arithmetic number, because the mean of its divisors is an integer number (16655520).

Almost surely, 2213808049 is an apocalyptic number.

It is an amenable number.

213808049 is a deficient number, since it is larger than the sum of its proper divisors (52680271).

213808049 is a wasteful number, since it uses less digits than its factorization.

213808049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29840.

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 213808049 is about 14622.1766163591. The cubic root of 213808049 is about 597.9635114181.

The spelling of 213808049 in words is "two hundred thirteen million, eight hundred eight thousand, forty-nine".

Divisors: 1 7 13 79 91 553 1027 7189 29741 208187 386633 2349539 2706431 16446773 30544007 213808049