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514993368 = 233232953607
BaseRepresentation
bin11110101100100…
…010110011011000
31022220001101002110
4132230202303120
52023314241433
6123034032320
715522241251
oct3654426330
91286041073
10514993368
1124477815a
121245786a0
1382904706
144c579b28
153032a963
hex1eb22cd8

514993368 has 128 divisors (see below), whose sum is σ = 1418342400. Its totient is φ = 155291136.

The previous prime is 514993351. The next prime is 514993373. The reversal of 514993368 is 863399415.

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, 848121 + ... + 848727.

It is an arithmetic number, because the mean of its divisors is an integer number (11080800).

Almost surely, 2514993368 is an apocalyptic number.

514993368 is a gapful number since it is divisible by the number (58) 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 514993368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709171200).

514993368 is an abundant number, since it is smaller than the sum of its proper divisors (903349032).

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

514993368 is a wasteful number, since it uses less digits than its factorization.

514993368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 721 (or 717 counting only the distinct ones).

The product of its digits is 699840, while the sum is 48.

The square root of 514993368 is about 22693.4653149315. The cubic root of 514993368 is about 801.5560173835.

The spelling of 514993368 in words is "five hundred fourteen million, nine hundred ninety-three thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 23 24 29 46 53 58 69 87 92 106 116 138 159 174 184 212 232 276 318 348 424 552 607 636 667 696 1214 1219 1272 1334 1537 1821 2001 2428 2438 2668 3074 3642 3657 4002 4611 4856 4876 5336 6148 7284 7314 8004 9222 9752 12296 13961 14568 14628 16008 17603 18444 27922 29256 32171 35206 35351 36888 41883 52809 55844 64342 70412 70702 83766 96513 105618 106053 111688 128684 140824 141404 167532 193026 211236 212106 257368 282808 335064 386052 404869 422472 424212 739933 772104 809738 848424 932959 1214607 1479866 1619476 1865918 2219799 2429214 2798877 2959732 3238952 3731836 4439598 4858428 5597754 5919464 7463672 8879196 9716856 11195508 17758392 21458057 22391016 42916114 64374171 85832228 128748342 171664456 257496684 514993368