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463252452 = 2231319732141
BaseRepresentation
bin11011100111001…
…010101111100100
31012021200122220020
4123213022233210
51422043034302
6113545035140
714323403145
oct3347125744
91167618806
10463252452
11218548473
1210b185ab0
1374c89aa0
144574bacc
152aa09ebc
hex1b9cabe4

463252452 has 96 divisors (see below), whose sum is σ = 1242702720. Its totient is φ = 133125120.

The previous prime is 463252451. The next prime is 463252463. The reversal of 463252452 is 254252364.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (463252451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 215302 + ... + 217442.

It is an arithmetic number, because the mean of its divisors is an integer number (12944820).

Almost surely, 2463252452 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 463252452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621351360).

463252452 is an abundant number, since it is smaller than the sum of its proper divisors (779450268).

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

463252452 is a wasteful number, since it uses less digits than its factorization.

463252452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2253 (or 2251 counting only the distinct ones).

The product of its digits is 57600, while the sum is 33.

The square root of 463252452 is about 21523.3002116311. The cubic root of 463252452 is about 773.7593480288.

The spelling of 463252452 in words is "four hundred sixty-three million, two hundred fifty-two thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 12 13 19 26 38 39 52 57 73 76 78 114 146 156 219 228 247 292 438 494 741 876 949 988 1387 1482 1898 2141 2774 2847 2964 3796 4161 4282 5548 5694 6423 8322 8564 11388 12846 16644 18031 25692 27833 36062 40679 54093 55666 72124 81358 83499 108186 111332 122037 156293 162716 166998 216372 244074 312586 333996 468879 488148 528827 625172 937758 1057654 1586481 1875516 2031809 2115308 2969567 3172962 4063618 5939134 6095427 6345924 8127236 8908701 11878268 12190854 17817402 24381708 35634804 38604371 77208742 115813113 154417484 231626226 463252452