Search a number
-
+
51423488 = 28376189
BaseRepresentation
bin1100010000101…
…0100100000000
310120202120202122
43010022210000
5101131022423
65034103412
71163043464
oct304124400
9116676678
1051423488
1127033256
121527ab68
13a8662cc
146b884a4
1547ab8c8
hex310a900

51423488 has 72 divisors (see below), whose sum is σ = 108352440. Its totient is φ = 24330240.

The previous prime is 51423473. The next prime is 51423517. The reversal of 51423488 is 88432415.

It can be written as a sum of positive squares in 4 ways, for example, as 1183744 + 50239744 = 1088^2 + 7088^2 .

It is a super-2 number, since 2×514234882 = 5288750236172288, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 577748 + ... + 577836.

It is an arithmetic number, because the mean of its divisors is an integer number (1504895).

Almost surely, 251423488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51423488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54176220).

51423488 is an abundant number, since it is smaller than the sum of its proper divisors (56928952).

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

51423488 is an equidigital number, since it uses as much as digits as its factorization.

51423488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 189 counting only the distinct ones).

The product of its digits is 30720, while the sum is 35.

The square root of 51423488 is about 7171.0172221241. The cubic root of 51423488 is about 371.8666034213.

The spelling of 51423488 in words is "fifty-one million, four hundred twenty-three thousand, four hundred eighty-eight".

Divisors: 1 2 4 8 16 32 37 61 64 74 89 122 128 148 178 244 256 296 356 488 592 712 976 1184 1424 1952 2257 2368 2848 3293 3904 4514 4736 5429 5696 6586 7808 9028 9472 10858 11392 13172 15616 18056 21716 22784 26344 36112 43432 52688 72224 86864 105376 144448 173728 200873 210752 288896 347456 401746 421504 577792 694912 803492 843008 1389824 1606984 3213968 6427936 12855872 25711744 51423488