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42237001 = 672972
BaseRepresentation
bin1010000100011…
…1110001001001
32221110212021101
42201013301021
541303041001
64105141401
71022002642
oct241076111
987425241
1042237001
1121929314
121218a861
13899ab11
1458766c9
153a94a01
hex2847c49

42237001 has 9 divisors (see below), whose sum is σ = 43323399. Its totient is φ = 41177664.

The previous prime is 42236969. The next prime is 42237007. The reversal of 42237001 is 10073224.

The square root of 42237001 is 6499.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 18966025 + 23270976 = 4355^2 + 4824^2 .

It is not a de Polignac number, because 42237001 - 25 = 42236969 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 42237001.

It is not an unprimeable number, because it can be changed into a prime (42237007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 435385 + ... + 435481.

It is an arithmetic number, because the mean of its divisors is an integer number (4813711).

Almost surely, 242237001 is an apocalyptic number.

42237001 is the 6499-th square number.

42237001 is the 3250-th centered octagonal number.

It is an amenable number.

42237001 is a deficient number, since it is larger than the sum of its proper divisors (1086398).

42237001 is an frugal number, since it uses more digits than its factorization.

42237001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 19.

The cubic root of 42237001 is about 348.2552653255.

The spelling of 42237001 in words is "forty-two million, two hundred thirty-seven thousand, one".

Divisors: 1 67 97 4489 6499 9409 435433 630403 42237001