Search a number
-
+
51447072 = 2531992693
BaseRepresentation
bin1100010001000…
…0010100100000
310120210210010010
43010100110200
5101132301242
65034404520
71163202315
oct304202440
9116723103
1051447072
1127049a46
1215290740
13a873c71
146b92d0c
1547b389c
hex3110520

51447072 has 48 divisors (see below), whose sum is σ = 135777600. Its totient is φ = 17056512.

The previous prime is 51447061. The next prime is 51447101. The reversal of 51447072 is 27074415.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17758 + ... + 20450.

It is an arithmetic number, because the mean of its divisors is an integer number (2828700).

Almost surely, 251447072 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 51447072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67888800).

51447072 is an abundant number, since it is smaller than the sum of its proper divisors (84330528).

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

51447072 is a wasteful number, since it uses less digits than its factorization.

51447072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2905 (or 2897 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 30.

The square root of 51447072 is about 7172.6614307382. The cubic root of 51447072 is about 371.9234436055.

It can be divided in two parts, 514 and 47072, that added together give a triangular number (47586 = T308).

The spelling of 51447072 in words is "fifty-one million, four hundred forty-seven thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 199 398 597 796 1194 1592 2388 2693 3184 4776 5386 6368 8079 9552 10772 16158 19104 21544 32316 43088 64632 86176 129264 258528 535907 1071814 1607721 2143628 3215442 4287256 6430884 8574512 12861768 17149024 25723536 51447072