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514995312 = 243133179337
BaseRepresentation
bin11110101100100…
…011010001110000
31022220001110202110
4132230203101300
52023314322222
6123034045320
715522250026
oct3654432160
91286043673
10514995312
11244779667
12124579840
1382905570
144c57a716
153032b30c
hex1eb23470

514995312 has 160 divisors (see below), whose sum is σ = 1502126080. Its totient is φ = 150958080.

The previous prime is 514995307. The next prime is 514995337. The reversal of 514995312 is 213599415.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1528008 + ... + 1528344.

It is an arithmetic number, because the mean of its divisors is an integer number (9388288).

Almost surely, 2514995312 is an apocalyptic number.

514995312 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 514995312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (751063040).

514995312 is an abundant number, since it is smaller than the sum of its proper divisors (987130768).

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

514995312 is a wasteful number, since it uses less digits than its factorization.

514995312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 465 counting only the distinct ones).

The product of its digits is 48600, while the sum is 39.

The square root of 514995312 is about 22693.5081466044. The cubic root of 514995312 is about 801.5570259550.

The spelling of 514995312 in words is "five hundred fourteen million, nine hundred ninety-five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 39 48 52 62 78 79 93 104 124 156 158 186 208 237 248 312 316 337 372 403 474 496 624 632 674 744 806 948 1011 1027 1209 1264 1348 1488 1612 1896 2022 2054 2418 2449 2696 3081 3224 3792 4044 4108 4381 4836 4898 5392 6162 6448 7347 8088 8216 8762 9672 9796 10447 12324 13143 14694 16176 16432 17524 19344 19592 20894 24648 26286 26623 29388 31341 31837 35048 39184 41788 49296 52572 53246 58776 62682 63674 70096 79869 83576 95511 105144 106492 117552 125364 127348 135811 159738 167152 191022 210288 212984 250728 254696 271622 319476 346099 382044 407433 425968 501456 509392 543244 638952 692198 764088 814866 825313 1038297 1086488 1277904 1384396 1528176 1629732 1650626 2076594 2172976 2475939 2768792 3259464 3301252 4153188 4951878 5537584 6518928 6602504 8306376 9903756 10729069 13205008 16612752 19807512 21458138 32187207 39615024 42916276 64374414 85832552 128748828 171665104 257497656 514995312