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468658152 = 233210696089
BaseRepresentation
bin11011111011110…
…010011111101000
31012122212022010100
4123323302133220
51424434030102
6114300545400
714420346204
oct3373623750
91178768110
10468658152
112205aa896
12110b52260
1376130421
1446357b04
152b226a1c
hex1bef27e8

468658152 has 48 divisors (see below), whose sum is σ = 1270678500. Its totient is φ = 156047616.

The previous prime is 468658147. The next prime is 468658153. The reversal of 468658152 is 251856864.

468658152 is a `hidden beast` number, since 4 + 68 + 6 + 581 + 5 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 456505956 + 12152196 = 21366^2 + 3486^2 .

It is a junction number, because it is equal to n+sod(n) for n = 468658098 and 468658107.

It is not an unprimeable number, because it can be changed into a prime (468658153) 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 11 ways as a sum of consecutive naturals, for example, 73924 + ... + 80012.

Almost surely, 2468658152 is an apocalyptic number.

It is an amenable number.

468658152 is an abundant number, since it is smaller than the sum of its proper divisors (802020348).

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

468658152 is a wasteful number, since it uses less digits than its factorization.

468658152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7170 (or 7163 counting only the distinct ones).

The product of its digits is 460800, while the sum is 45.

The square root of 468658152 is about 21648.5138519946. The cubic root of 468658152 is about 776.7573866247.

The spelling of 468658152 in words is "four hundred sixty-eight million, six hundred fifty-eight thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1069 2138 3207 4276 6089 6414 8552 9621 12178 12828 18267 19242 24356 25656 36534 38484 48712 54801 73068 76968 109602 146136 219204 438408 6509141 13018282 19527423 26036564 39054846 52073128 58582269 78109692 117164538 156219384 234329076 468658152