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51340432 = 241113191181
BaseRepresentation
bin1100001111011…
…0010010010000
310120121100211111
43003312102100
5101120343212
65032223104
71162246363
oct303662220
9116540744
1051340432
1126a86910
121523aa94
13a837570
146b660da
154791ea7
hex30f6490

51340432 has 80 divisors (see below), whose sum is σ = 123117120. Its totient is φ = 20390400.

The previous prime is 51340381. The next prime is 51340463. The reversal of 51340432 is 23404315.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 42882 + ... + 44062.

It is an arithmetic number, because the mean of its divisors is an integer number (1538964).

Almost surely, 251340432 is an apocalyptic number.

51340432 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51340432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61558560).

51340432 is an abundant number, since it is smaller than the sum of its proper divisors (71776688).

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

51340432 is a wasteful number, since it uses less digits than its factorization.

51340432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1232 (or 1226 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 51340432 is about 7165.2237927367. The cubic root of 51340432 is about 371.6662903154. Note that the first 3 decimals are identical.

Adding to 51340432 its reverse (23404315), we get a palindrome (74744747).

The spelling of 51340432 in words is "fifty-one million, three hundred forty thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 13 16 19 22 26 38 44 52 76 88 104 143 152 176 208 209 247 286 304 418 494 572 836 988 1144 1181 1672 1976 2288 2362 2717 3344 3952 4724 5434 9448 10868 12991 15353 18896 21736 22439 25982 30706 43472 44878 51964 61412 89756 103928 122824 168883 179512 207856 245648 246829 291707 337766 359024 493658 583414 675532 987316 1166828 1351064 1974632 2333656 2702128 3208777 3949264 4667312 6417554 12835108 25670216 51340432