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514427264 = 27131731787
BaseRepresentation
bin11110101010011…
…000100110000000
31022211222121112122
4132222120212000
52023143133024
6123013543412
715514362641
oct3652304600
91284877478
10514427264
112444208aa
12124344b68
1382766b40
144c46d6c8
1530267d5e
hex1ea98980

514427264 has 64 divisors (see below), whose sum is σ = 1110669840. Its totient is φ = 235923456.

The previous prime is 514427257. The next prime is 514427279. The reversal of 514427264 is 462724415.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

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, 286979 + ... + 288765.

Almost surely, 2514427264 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 514427264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555334920).

514427264 is an abundant number, since it is smaller than the sum of its proper divisors (596242576).

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

514427264 is a wasteful number, since it uses less digits than its factorization.

514427264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1987 (or 1975 counting only the distinct ones).

The product of its digits is 53760, while the sum is 35.

The square root of 514427264 is about 22680.9890436903. The cubic root of 514427264 is about 801.2622074930.

The spelling of 514427264 in words is "five hundred fourteen million, four hundred twenty-seven thousand, two hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 173 208 346 416 692 832 1384 1664 1787 2249 2768 3574 4498 5536 7148 8996 11072 14296 17992 22144 23231 28592 35984 46462 57184 71968 92924 114368 143936 185848 228736 287872 309151 371696 618302 743392 1236604 1486784 2473208 2973568 4018963 4946416 8037926 9892832 16075852 19785664 32151704 39571328 64303408 128606816 257213632 514427264