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51440352 = 253717547
BaseRepresentation
bin1100010000111…
…0101011100000
310120210102220020
43010032223200
5101132042402
65034313440
71163143605
oct304165340
9116712806
1051440352
1127044997
1215288880
13a870ba2
146b906ac
1547b18bc
hex310eae0

51440352 has 48 divisors (see below), whose sum is σ = 136950912. Its totient is φ = 16903040.

The previous prime is 51440327. The next prime is 51440359. The reversal of 51440352 is 25304415.

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

It is a super-2 number, since 2×514403522 = 5292219627767808, which contains 22 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 not an unprimeable number, because it can be changed into a prime (51440359) 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 7 ways as a sum of consecutive naturals, for example, 3043 + ... + 10589.

It is an arithmetic number, because the mean of its divisors is an integer number (2853144).

Almost surely, 251440352 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 51440352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68475456).

51440352 is an abundant number, since it is smaller than the sum of its proper divisors (85510560).

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

51440352 is a wasteful number, since it uses less digits than its factorization.

51440352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7631 (or 7623 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 51440352 is about 7172.1929700755. The cubic root of 51440352 is about 371.9072493935.

Adding to 51440352 its reverse (25304415), we get a palindrome (76744767).

The spelling of 51440352 in words is "fifty-one million, four hundred forty thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 71 96 142 213 284 426 568 852 1136 1704 2272 3408 6816 7547 15094 22641 30188 45282 60376 90564 120752 181128 241504 362256 535837 724512 1071674 1607511 2143348 3215022 4286696 6430044 8573392 12860088 17146784 25720176 51440352