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51143004 = 2232111771107
BaseRepresentation
bin1100001100011…
…0000101011100
310120020100000100
43003012011130
5101043034004
65024101100
71160464653
oct303060534
9116210010
1051143004
1126961550
1215164790
13a798743
146b1419a
154753739
hex30c615c

51143004 has 144 divisors (see below), whose sum is σ = 152845056. Its totient is φ = 14246400.

The previous prime is 51142999. The next prime is 51143011. The reversal of 51143004 is 40034115.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 477919 + ... + 478025.

It is an arithmetic number, because the mean of its divisors is an integer number (1061424).

Almost surely, 251143004 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 51143004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76422528).

51143004 is an abundant number, since it is smaller than the sum of its proper divisors (101702052).

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

51143004 is a wasteful number, since it uses less digits than its factorization.

51143004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 51143004 is about 7151.4337024124. The cubic root of 51143004 is about 371.1892680304.

Adding to 51143004 its reverse (40034115), we get a palindrome (91177119).

Subtracting from 51143004 its reverse (40034115), we obtain a square (11108889 = 33332).

It can be divided in two parts, 5114 and 3004, that added together give a palindrome (8118).

The spelling of 51143004 in words is "fifty-one million, one hundred forty-three thousand, four".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 33 34 36 44 51 66 68 71 99 102 107 132 142 153 187 198 204 213 214 284 306 321 374 396 426 428 561 612 639 642 748 781 852 963 1122 1177 1207 1278 1284 1562 1683 1819 1926 2244 2343 2354 2414 2556 3124 3366 3531 3621 3638 3852 4686 4708 4828 5457 6732 7029 7062 7242 7276 7597 9372 10593 10863 10914 13277 14058 14124 14484 15194 16371 20009 21186 21726 21828 22791 26554 28116 30388 32742 39831 40018 42372 43452 45582 53108 60027 65484 68373 79662 80036 83567 91164 119493 120054 129149 136746 159324 167134 180081 238986 240108 250701 258298 273492 334268 360162 387447 477972 501402 516596 720324 752103 774894 1002804 1162341 1420639 1504206 1549788 2324682 2841278 3008412 4261917 4649364 5682556 8523834 12785751 17047668 25571502 51143004