Search a number
-
+
51342432 = 2532572081
BaseRepresentation
bin1100001111011…
…0110001100000
310120121110120120
43003312301200
5101120424212
65032240240
71162255251
oct303666140
9116543516
1051342432
1126a88369
1215240080
13a83844b
146b66b28
15479288c
hex30f6c60

51342432 has 48 divisors (see below), whose sum is σ = 135363312. Its totient is φ = 17039360.

The previous prime is 51342407. The next prime is 51342451. The reversal of 51342432 is 23424315.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×513424323 (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23632 + ... + 25712.

It is an arithmetic number, because the mean of its divisors is an integer number (2820069).

Almost surely, 251342432 is an apocalyptic number.

It is an amenable number.

51342432 is an abundant number, since it is smaller than the sum of its proper divisors (84020880).

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

51342432 is a wasteful number, since it uses less digits than its factorization.

51342432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2351 (or 2343 counting only the distinct ones).

The product of its digits is 2880, while the sum is 24.

The square root of 51342432 is about 7165.3633543596. The cubic root of 51342432 is about 371.6711164202.

Adding to 51342432 its reverse (23424315), we get a palindrome (74766747).

The spelling of 51342432 in words is "fifty-one million, three hundred forty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 257 514 771 1028 1542 2056 2081 3084 4112 4162 6168 6243 8224 8324 12336 12486 16648 24672 24972 33296 49944 66592 99888 199776 534817 1069634 1604451 2139268 3208902 4278536 6417804 8557072 12835608 17114144 25671216 51342432