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51051000 = 233537111317
BaseRepresentation
bin1100001010111…
…1100111111000
310120001122210210
43002233213320
5101032113000
65022111120
71156632510
oct302574770
9116048723
1051051000
11268a9410
121511b4a0
13a7658c0
146acc840
154736350
hex30af9f8

51051000 has 512 divisors, whose sum is σ = 226437120. Its totient is φ = 9216000.

The previous prime is 51050981. The next prime is 51051001. The reversal of 51051000 is 15015.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51051001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3002992 + ... + 3003008.

It is an arithmetic number, because the mean of its divisors is an integer number (442260).

Almost surely, 251051000 is an apocalyptic number.

51051000 is a gapful number since it is divisible by the number (50) 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 51051000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113218560).

51051000 is an abundant number, since it is smaller than the sum of its proper divisors (175386120).

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

51051000 is a wasteful number, since it uses less digits than its factorization.

51051000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 25, while the sum is 12.

The square root of 51051000 is about 7144.9982505246. The cubic root of 51051000 is about 370.9665500704.

Adding to 51051000 its product of nonzero digits (25), we get a square (51051025 = 71452).

Adding to 51051000 its reverse (15015), we get a palindrome (51066015).

It can be divided in two parts, 5105 and 1000, that added together give a triangular number (6105 = T110).

The spelling of 51051000 in words is "fifty-one million, fifty-one thousand".