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514132432 = 2411231071187
BaseRepresentation
bin11110101001010…
…000100111010000
31022211102122002221
4132221100213100
52023104214212
6123003350424
715512024242
oct3651204720
91284378087
10514132432
1124423a340
12124222414
1382692898
144c3d4092
153020a807
hex1ea509d0

514132432 has 80 divisors (see below), whose sum is σ = 1145498112. Its totient is φ = 221260160.

The previous prime is 514132429. The next prime is 514132433. The reversal of 514132432 is 234231415.

It is a junction number, because it is equal to n+sod(n) for n = 514132397 and 514132406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (514132433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 432543 + ... + 433729.

Almost surely, 2514132432 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 514132432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572749056).

514132432 is an abundant number, since it is smaller than the sum of its proper divisors (631365680).

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

514132432 is a wasteful number, since it uses less digits than its factorization.

514132432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1336 (or 1330 counting only the distinct ones).

The product of its digits is 2880, while the sum is 25.

The square root of 514132432 is about 22674.4885719612. The cubic root of 514132432 is about 801.1091033184.

Adding to 514132432 its reverse (234231415), we get a palindrome (748363847).

It can be divided in two parts, 5141 and 32432, that added together give a palindrome (37573).

The spelling of 514132432 in words is "five hundred fourteen million, one hundred thirty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 23 44 46 88 92 107 176 184 214 253 368 428 506 856 1012 1177 1187 1712 2024 2354 2374 2461 4048 4708 4748 4922 9416 9496 9844 13057 18832 18992 19688 26114 27071 27301 39376 52228 54142 54602 104456 108284 109204 127009 208912 216568 218408 254018 300311 433136 436816 508036 600622 1016072 1201244 1397099 2032144 2402488 2794198 2921207 4804976 5588396 5842414 11176792 11684828 22353584 23369656 32133277 46739312 64266554 128533108 257066216 514132432