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514169968 = 241323313467
BaseRepresentation
bin11110101001011…
…001110001110000
31022211111112121011
4132221121301300
52023111414333
6123004240304
715512241544
oct3651316160
91284445534
10514169968
11244265564
12124240094
13826a69b0
144c403a24
15302169cd
hex1ea59c70

514169968 has 80 divisors (see below), whose sum is σ = 1155926016. Its totient is φ = 219605760.

The previous prime is 514169959. The next prime is 514169969. The reversal of 514169968 is 869961415.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (514169969) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 146571 + ... + 150037.

Almost surely, 2514169968 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 514169968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577963008).

514169968 is an abundant number, since it is smaller than the sum of its proper divisors (641756048).

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

514169968 is a wasteful number, since it uses less digits than its factorization.

514169968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3542 (or 3536 counting only the distinct ones).

The product of its digits is 466560, while the sum is 49.

The square root of 514169968 is about 22675.3162712232. The cubic root of 514169968 is about 801.1285987490.

The spelling of 514169968 in words is "five hundred fourteen million, one hundred sixty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 13 16 23 26 31 46 52 62 92 104 124 184 208 248 299 368 403 496 598 713 806 1196 1426 1612 2392 2852 3224 3467 4784 5704 6448 6934 9269 11408 13868 18538 27736 37076 45071 55472 74152 79741 90142 107477 148304 159482 180284 214954 318964 360568 429908 637928 721136 859816 1036633 1275856 1397201 1719632 2073266 2471971 2794402 4146532 4943942 5588804 8293064 9887884 11177608 16586128 19775768 22355216 32135623 39551536 64271246 128542492 257084984 514169968