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51003128 = 231117103331
BaseRepresentation
bin1100001010001…
…1111011111000
310112222020010202
43002203323320
5101024100003
65021101332
71156343111
oct302437370
9115866122
1051003128
1126876450
12150b7848
13a749b87
146ab9208
154727088
hex30a3ef8

51003128 has 64 divisors (see below), whose sum is σ = 111870720. Its totient is φ = 21542400.

The previous prime is 51003107. The next prime is 51003151. The reversal of 51003128 is 82130015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 153923 + ... + 154253.

It is an arithmetic number, because the mean of its divisors is an integer number (1747980).

Almost surely, 251003128 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 51003128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55935360).

51003128 is an abundant number, since it is smaller than the sum of its proper divisors (60867592).

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

51003128 is a wasteful number, since it uses less digits than its factorization.

51003128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 51003128 is about 7141.6474289900. The cubic root of 51003128 is about 370.8505584503.

It can be divided in two parts, 5100 and 3128, that added together give a palindrome (8228).

The spelling of 51003128 in words is "fifty-one million, three thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 11 17 22 34 44 68 88 103 136 187 206 331 374 412 662 748 824 1133 1324 1496 1751 2266 2648 3502 3641 4532 5627 7004 7282 9064 11254 14008 14564 19261 22508 29128 34093 38522 45016 61897 68186 77044 123794 136372 154088 247588 272744 375023 495176 579581 750046 1159162 1500092 2318324 3000184 4636648 6375391 12750782 25501564 51003128