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514455144 = 233710728619
BaseRepresentation
bin11110101010011…
…111011001101000
31022212001000210020
4132222133121220
52023200031034
6123014320440
715514540140
oct3652373150
91285030706
10514455144
1124443a845
12124359120
1382776738
144c479920
1530271249
hex1ea9f668

514455144 has 64 divisors (see below), whose sum is σ = 1483660800. Its totient is φ = 145608384.

The previous prime is 514455133. The next prime is 514455169. The reversal of 514455144 is 441554415.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3667 + ... + 32285.

It is an arithmetic number, because the mean of its divisors is an integer number (23182200).

Almost surely, 2514455144 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 514455144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (741830400).

514455144 is an abundant number, since it is smaller than the sum of its proper divisors (969205656).

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

514455144 is a wasteful number, since it uses less digits than its factorization.

514455144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28742 (or 28738 counting only the distinct ones).

The product of its digits is 32000, while the sum is 33.

The square root of 514455144 is about 22681.6036470087. The cubic root of 514455144 is about 801.2766823523.

The spelling of 514455144 in words is "five hundred fourteen million, four hundred fifty-five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 107 168 214 321 428 642 749 856 1284 1498 2247 2568 2996 4494 5992 8988 17976 28619 57238 85857 114476 171714 200333 228952 343428 400666 600999 686856 801332 1201998 1602664 2403996 3062233 4807992 6124466 9186699 12248932 18373398 21435631 24497864 36746796 42871262 64306893 73493592 85742524 128613786 171485048 257227572 514455144