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514055424 = 2834311553
BaseRepresentation
bin11110101000111…
…101110100000000
31022211021201110210
4132220331310000
52023044233144
6123001554120
715511253601
oct3650756400
91284251423
10514055424
112441974a3
121241a5940
138266680c
144c3b3da8
15301e2ab9
hex1ea3dd00

514055424 has 72 divisors (see below), whose sum is σ = 1372194432. Its totient is φ = 170844160.

The previous prime is 514055413. The next prime is 514055441. The reversal of 514055424 is 424550415.

It is a junction number, because it is equal to n+sod(n) for n = 514055391 and 514055400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 330232 + ... + 331784.

It is an arithmetic number, because the mean of its divisors is an integer number (19058256).

Almost surely, 2514055424 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 514055424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686097216).

514055424 is an abundant number, since it is smaller than the sum of its proper divisors (858139008).

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

514055424 is a wasteful number, since it uses less digits than its factorization.

514055424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2003 (or 1989 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 30.

The square root of 514055424 is about 22672.7903884811. The cubic root of 514055424 is about 801.0691039678.

The spelling of 514055424 in words is "five hundred fourteen million, fifty-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 431 768 862 1293 1553 1724 2586 3106 3448 4659 5172 6212 6896 9318 10344 12424 13792 18636 20688 24848 27584 37272 41376 49696 55168 74544 82752 99392 110336 149088 165504 198784 298176 331008 397568 596352 669343 1192704 1338686 2008029 2677372 4016058 5354744 8032116 10709488 16064232 21418976 32128464 42837952 64256928 85675904 128513856 171351808 257027712 514055424