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514883952 = 2436114013
BaseRepresentation
bin11110101100001…
…000000101110000
31022212211211000000
4132230020011300
52023302241302
6123031430000
715521304252
oct3654100560
91285754000
10514883952
11244702a30
12124525300
138289697b
144c54bcd2
153030831c
hex1eb08170

514883952 has 140 divisors (see below), whose sum is σ = 1632076344. Its totient is φ = 155986560.

The previous prime is 514883933. The next prime is 514883959. The reversal of 514883952 is 259388415.

514883952 is a `hidden beast` number, since 514 + 8 + 83 + 9 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 514883898 and 514883907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (514883959) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 126298 + ... + 130310.

Almost surely, 2514883952 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 514883952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (816038172).

514883952 is an abundant number, since it is smaller than the sum of its proper divisors (1117192392).

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

514883952 is a wasteful number, since it uses less digits than its factorization.

514883952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4050 (or 4029 counting only the distinct ones).

The product of its digits is 345600, while the sum is 45.

The square root of 514883952 is about 22691.0544488351. The cubic root of 514883952 is about 801.4992469016.

The spelling of 514883952 in words is "five hundred fourteen million, eight hundred eighty-three thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 81 88 99 108 132 144 162 176 198 216 243 264 297 324 396 432 486 528 594 648 729 792 891 972 1188 1296 1458 1584 1782 1944 2376 2673 2916 3564 3888 4013 4752 5346 5832 7128 8019 8026 10692 11664 12039 14256 16038 16052 21384 24078 32076 32104 36117 42768 44143 48156 64152 64208 72234 88286 96312 108351 128304 132429 144468 176572 192624 216702 264858 288936 325053 353144 397287 433404 529716 577872 650106 706288 794574 866808 975159 1059432 1191861 1300212 1589148 1733616 1950318 2118864 2383722 2600424 2925477 3178296 3575583 3900636 4767444 5200848 5850954 6356592 7151166 7801272 9534888 10726749 11701908 14302332 15602544 19069776 21453498 23403816 28604664 32180247 42906996 46807632 57209328 64360494 85813992 128720988 171627984 257441976 514883952