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452114031 = 31729283127
BaseRepresentation
bin11010111100101…
…011011001101111
31011111201202212010
4122330223121233
51411220122111
6112510212303
714126622465
oct3274533157
91144652763
10452114031
1121222aa66
121074b4093
1372889cc5
144408c835
1529a59aa6
hex1af2b66f

452114031 has 48 divisors (see below), whose sum is σ = 674279424. Its totient is φ = 268466688.

The previous prime is 452114029. The next prime is 452114087. The reversal of 452114031 is 130411254.

It is not a de Polignac number, because 452114031 - 21 = 452114029 is a prime.

It is a super-2 number, since 2×4521140312 = 408814194054137922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 452113989 and 452114007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (452114021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3559890 + ... + 3560016.

It is an arithmetic number, because the mean of its divisors is an integer number (14047488).

Almost surely, 2452114031 is an apocalyptic number.

452114031 is a deficient number, since it is larger than the sum of its proper divisors (222165393).

452114031 is a wasteful number, since it uses less digits than its factorization.

452114031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 452114031 is about 21262.9732398835. The cubic root of 452114031 is about 767.5075595460.

Adding to 452114031 its reverse (130411254), we get a palindrome (582525285).

The spelling of 452114031 in words is "four hundred fifty-two million, one hundred fourteen thousand, thirty-one".

Divisors: 1 3 17 29 51 83 87 127 249 381 493 841 1411 1479 2159 2407 2523 3683 4233 6477 7221 10541 11049 14297 31623 40919 42891 62611 69803 106807 122757 179197 187833 209409 305689 320421 537591 917067 1186651 1815719 3559953 5196713 5447157 8864981 15590139 26594943 150704677 452114031