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51383968 = 2543107349
BaseRepresentation
bin1100010000000…
…0111010100000
310120200120112221
43010000322200
5101123241333
65033200424
71162520326
oct304007240
9116616487
1051383968
1127006599
1215260114
13a85131c
146b77d16
15479ed2d
hex3100ea0

51383968 has 48 divisors (see below), whose sum is σ = 104781600. Its totient is φ = 24788736.

The previous prime is 51383963. The next prime is 51383971. The reversal of 51383968 is 86938315.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is not an unprimeable number, because it can be changed into a prime (51383963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 147058 + ... + 147406.

It is an arithmetic number, because the mean of its divisors is an integer number (2182950).

Almost surely, 251383968 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 51383968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52390800).

51383968 is an abundant number, since it is smaller than the sum of its proper divisors (53397632).

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

51383968 is a wasteful number, since it uses less digits than its factorization.

51383968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 501 counting only the distinct ones).

The product of its digits is 155520, while the sum is 43.

The square root of 51383968 is about 7168.2611559569. The cubic root of 51383968 is about 371.7713166492.

The spelling of 51383968 in words is "fifty-one million, three hundred eighty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 32 43 86 107 172 214 344 349 428 688 698 856 1376 1396 1712 2792 3424 4601 5584 9202 11168 15007 18404 30014 36808 37343 60028 73616 74686 120056 147232 149372 240112 298744 480224 597488 1194976 1605749 3211498 6422996 12845992 25691984 51383968