Search a number
-
+
51485904 = 24322912329
BaseRepresentation
bin1100010001100…
…1110011010000
310120212202101100
43010121303100
5101140022104
65035304400
71163423451
oct304316320
9116782340
1051485904
1127076138
12152ab100
13a888842
146ba3128
1547c0139
hex3119cd0

51485904 has 60 divisors (see below), whose sum is σ = 149069700. Its totient is φ = 16568832.

The previous prime is 51485897. The next prime is 51485909. The reversal of 51485904 is 40958415.

It can be written as a sum of positive squares in 2 ways, for example, as 8714304 + 42771600 = 2952^2 + 6540^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51485909) 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 11 ways as a sum of consecutive naturals, for example, 1989 + ... + 10340.

It is an arithmetic number, because the mean of its divisors is an integer number (2484495).

Almost surely, 251485904 is an apocalyptic number.

It is an amenable number.

51485904 is an abundant number, since it is smaller than the sum of its proper divisors (97583796).

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

51485904 is a wasteful number, since it uses less digits than its factorization.

51485904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12372 (or 12363 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 51485904 is about 7175.3678651342. The cubic root of 51485904 is about 372.0169954081.

The spelling of 51485904 in words is "fifty-one million, four hundred eighty-five thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 232 261 348 464 522 696 1044 1392 2088 4176 12329 24658 36987 49316 73974 98632 110961 147948 197264 221922 295896 357541 443844 591792 715082 887688 1072623 1430164 1775376 2145246 2860328 3217869 4290492 5720656 6435738 8580984 12871476 17161968 25742952 51485904