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514152 = 233237193
BaseRepresentation
bin1111101100001101000
3222010021200
41331201220
5112423102
615004200
74240662
oct1754150
9863250
10514152
11321321
12209660
13150042
14d5532
15a251c
hex7d868

514152 has 48 divisors (see below), whose sum is σ = 1437540. Its totient is φ = 165888.

The previous prime is 514147. The next prime is 514177. The reversal of 514152 is 251415.

514152 is a `hidden beast` number, since 514 + 152 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 509796 + 4356 = 714^2 + 66^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 14.

It is an unprimeable number.

514152 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2568 + ... + 2760.

2514152 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 514152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718770).

514152 is an abundant number, since it is smaller than the sum of its proper divisors (923388).

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

514152 is a wasteful number, since it uses less digits than its factorization.

514152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 235 counting only the distinct ones).

The product of its digits is 200, while the sum is 18.

The square root of 514152 is about 717.0439317085. The cubic root of 514152 is about 80.1119266656. Note that the first 3 decimals are identical.

Adding to 514152 its reverse (251415), we get a palindrome (765567).

It can be divided in two parts, 514 and 152, that added together give a palindrome (666).

The spelling of 514152 in words is "five hundred fourteen thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 111 148 193 222 296 333 386 444 579 666 772 888 1158 1332 1544 1737 2316 2664 3474 4632 6948 7141 13896 14282 21423 28564 42846 57128 64269 85692 128538 171384 257076 514152