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40799952 = 2432421673
BaseRepresentation
bin1001101110100…
…0111011010000
32211202212000100
42123220323100
540421044302
64014252400
71003536204
oct233507320
984685010
1040799952
1121037676
12117b7100
1385b69ab
1455c0b04
1538add1c
hex26e8ed0

40799952 has 60 divisors (see below), whose sum is σ = 114624484. Its totient is φ = 13547520.

The previous prime is 40799947. The next prime is 40799959. The reversal of 40799952 is 25999704.

40799952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 4511376 + 36288576 = 2124^2 + 6024^2 .

It is a junction number, because it is equal to n+sod(n) for n = 40799898 and 40799907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40799959) 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 11 ways as a sum of consecutive naturals, for example, 60288 + ... + 60960.

Almost surely, 240799952 is an apocalyptic number.

It is an amenable number.

40799952 is an abundant number, since it is smaller than the sum of its proper divisors (73824532).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40799952 is a wasteful number, since it uses less digits than its factorization.

40799952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1108 (or 1099 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 40799952 is about 6387.4840117217. The cubic root of 40799952 is about 344.2599891412.

The spelling of 40799952 in words is "forty million, seven hundred ninety-nine thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 421 673 842 1263 1346 1684 2019 2526 2692 3368 3789 4038 5052 5384 6057 6736 7578 8076 10104 10768 12114 15156 16152 20208 24228 30312 32304 48456 60624 96912 283333 566666 849999 1133332 1699998 2266664 2549997 3399996 4533328 5099994 6799992 10199988 13599984 20399976 40799952