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51414460 = 22517376167
BaseRepresentation
bin1100010000100…
…0010110111100
310120202010101021
43010020112330
5101130230320
65033553524
71163005246
oct304102674
9116663337
1051414460
1127027499
12152758a4
13a862176
146b85096
1547a8daa
hex31085bc

51414460 has 96 divisors (see below), whose sum is σ = 121117248. Its totient is φ = 18247680.

The previous prime is 51414449. The next prime is 51414469. The reversal of 51414460 is 6441415.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51414469) 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 31 ways as a sum of consecutive naturals, for example, 767347 + ... + 767413.

It is an arithmetic number, because the mean of its divisors is an integer number (1261638).

Almost surely, 251414460 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 51414460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60558624).

51414460 is an abundant number, since it is smaller than the sum of its proper divisors (69702788).

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

51414460 is a wasteful number, since it uses less digits than its factorization.

51414460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 51414460 is about 7170.3877161559. The cubic root of 51414460 is about 371.8448402912.

Adding to 51414460 its reverse (6441415), we get a palindrome (57855875).

It can be divided in two parts, 514 and 14460, that multiplied together give a triangular number (7432440 = T3855).

The spelling of 51414460 in words is "fifty-one million, four hundred fourteen thousand, four hundred sixty".

Divisors: 1 2 4 5 10 17 20 34 37 61 67 68 74 85 122 134 148 170 185 244 268 305 335 340 370 610 629 670 740 1037 1139 1220 1258 1340 2074 2257 2278 2479 2516 3145 4087 4148 4514 4556 4958 5185 5695 6290 8174 9028 9916 10370 11285 11390 12395 12580 16348 20435 20740 22570 22780 24790 38369 40870 42143 45140 49580 69479 76738 81740 84286 138958 151219 153476 168572 191845 210715 277916 302438 347395 383690 421430 604876 694790 756095 767380 842860 1389580 1512190 2570723 3024380 5141446 10282892 12853615 25707230 51414460