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514227952 = 24725911117
BaseRepresentation
bin11110101001100…
…111111011110000
31022211121111010201
4132221213323300
52023120243302
6123005404544
715512602600
oct3651477360
91284544121
10514227952
112442a5087
12124269754
13826c71c4
144c41ac00
1530228c87
hex1ea67ef0

514227952 has 60 divisors (see below), whose sum is σ = 1178730360. Its totient is φ = 216628608.

The previous prime is 514227949. The next prime is 514228007. The reversal of 514227952 is 259722415.

It is a super-2 number, since 2×5142279522 = 528860773236228608, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40698 + ... + 51814.

It is an arithmetic number, because the mean of its divisors is an integer number (19645506).

Almost surely, 2514227952 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 514227952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589365180).

514227952 is an abundant number, since it is smaller than the sum of its proper divisors (664502408).

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

514227952 is a wasteful number, since it uses less digits than its factorization.

514227952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11198 (or 11185 counting only the distinct ones).

The product of its digits is 50400, while the sum is 37.

The square root of 514227952 is about 22676.5948060991. The cubic root of 514227952 is about 801.1587125878.

The spelling of 514227952 in words is "five hundred fourteen million, two hundred twenty-seven thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 49 56 59 98 112 118 196 236 392 413 472 784 826 944 1652 2891 3304 5782 6608 11117 11564 22234 23128 44468 46256 77819 88936 155638 177872 311276 544733 622552 655903 1089466 1245104 1311806 2178932 2623612 4357864 4591321 5247224 8715728 9182642 10494448 18365284 32139247 36730568 64278494 73461136 128556988 257113976 514227952