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514325440 = 26519292917
BaseRepresentation
bin11110101001111…
…111101111000000
31022211210102212101
4132221333233000
52023131403230
6123011440144
715513460036
oct3651775700
91284712771
10514325440
11244361352
121242b6054
138272c6a5
144c444556
1530247aca
hex1ea7fbc0

514325440 has 112 divisors (see below), whose sum is σ = 1334109600. Its totient is φ = 188116992.

The previous prime is 514325417. The next prime is 514325467. The reversal of 514325440 is 44523415.

It is a junction number, because it is equal to n+sod(n) for n = 514325399 and 514325408.

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, 174862 + ... + 177778.

Almost surely, 2514325440 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 514325440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667054800).

514325440 is an abundant number, since it is smaller than the sum of its proper divisors (819784160).

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

514325440 is a wasteful number, since it uses less digits than its factorization.

514325440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2982 (or 2972 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

The square root of 514325440 is about 22678.7442333124. The cubic root of 514325440 is about 801.2093376236.

Adding to 514325440 its reverse (44523415), we get a palindrome (558848855).

The spelling of 514325440 in words is "five hundred fourteen million, three hundred twenty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 29 32 38 40 58 64 76 80 95 116 145 152 160 190 232 290 304 320 380 464 551 580 608 760 928 1102 1160 1216 1520 1856 2204 2320 2755 2917 3040 4408 4640 5510 5834 6080 8816 9280 11020 11668 14585 17632 22040 23336 29170 35264 44080 46672 55423 58340 84593 88160 93344 110846 116680 169186 176320 186688 221692 233360 277115 338372 422965 443384 466720 554230 676744 845930 886768 933440 1108460 1353488 1607267 1691860 1773536 2216920 2706976 3214534 3383720 3547072 4433840 5413952 6429068 6767440 8036335 8867680 12858136 13534880 16072670 17735360 25716272 27069760 32145340 51432544 64290680 102865088 128581360 257162720 514325440