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51074352 = 24327232203
BaseRepresentation
bin1100001011010…
…1010100110000
310120002211211200
43002311110300
5101033334402
65022411200
71160060550
oct302652460
9116084750
1051074352
1126914a0a
1215130b00
13a773414
146ad7160
15473d21c
hex30b5530

51074352 has 120 divisors (see below), whose sum is σ = 170536704. Its totient is φ = 13951872.

The previous prime is 51074339. The next prime is 51074357. The reversal of 51074352 is 25347015.

It is a happy number.

It is a super-4 number, since 4×510743524 (a number of 32 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (51074357) 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 23 ways as a sum of consecutive naturals, for example, 22083 + ... + 24285.

Almost surely, 251074352 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 51074352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85268352).

51074352 is an abundant number, since it is smaller than the sum of its proper divisors (119462352).

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

51074352 is a wasteful number, since it uses less digits than its factorization.

51074352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2247 (or 2238 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 51074352 is about 7146.6322138473. The cubic root of 51074352 is about 371.0231045639.

The spelling of 51074352 in words is "fifty-one million, seventy-four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 23 24 28 36 42 46 48 56 63 69 72 84 92 112 126 138 144 161 168 184 207 252 276 322 336 368 414 483 504 552 644 828 966 1008 1104 1288 1449 1656 1932 2203 2576 2898 3312 3864 4406 5796 6609 7728 8812 11592 13218 15421 17624 19827 23184 26436 30842 35248 39654 46263 50669 52872 61684 79308 92526 101338 105744 123368 138789 152007 158616 185052 202676 246736 277578 304014 317232 354683 370104 405352 456021 555156 608028 709366 740208 810704 912042 1064049 1110312 1216056 1418732 1824084 2128098 2220624 2432112 2837464 3192147 3648168 4256196 5674928 6384294 7296336 8512392 12768588 17024784 25537176 51074352