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2072372949 = 32797288913
BaseRepresentation
bin111101110000101…
…1110011011010101
312100102112110020200
41323201132123111
513221011413244
6541350051113
7102232610433
oct17341363325
95312473220
102072372949
11973889519
1249a049a99
13270466caa
14159337d53
15c1e0b669
hex7b85e6d5

2072372949 has 12 divisors (see below), whose sum is σ = 2997193836. Its totient is φ = 1379843712.

The previous prime is 2072372941. The next prime is 2072372969. The reversal of 2072372949 is 9492732702.

It can be written as a sum of positive squares in 2 ways, for example, as 632170449 + 1440202500 = 25143^2 + 37950^2 .

It is not a de Polignac number, because 2072372949 - 23 = 2072372941 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2072372941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 137284 + ... + 151629.

It is an arithmetic number, because the mean of its divisors is an integer number (249766153).

Almost surely, 22072372949 is an apocalyptic number.

It is an amenable number.

2072372949 is a deficient number, since it is larger than the sum of its proper divisors (924820887).

2072372949 is a wasteful number, since it uses less digits than its factorization.

2072372949 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289716 (or 289713 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 2072372949 is about 45523.3231322143. The cubic root of 2072372949 is about 1274.9387024741.

The spelling of 2072372949 in words is "two billion, seventy-two million, three hundred seventy-two thousand, nine hundred forty-nine".

Divisors: 1 3 9 797 2391 7173 288913 866739 2600217 230263661 690790983 2072372949