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466300164 = 2231129181673
BaseRepresentation
bin11011110010110…
…010110100000100
31012111102111120110
4123302302310010
51423333101124
6114134233020
714361325461
oct3362626404
91174374513
10466300164
1121a23a240
121101b5770
13757b6075
1445d02668
152ae0d029
hex1bcb2d04

466300164 has 96 divisors (see below), whose sum is σ = 1236493440. Its totient is φ = 135475200.

The previous prime is 466300139. The next prime is 466300189. The reversal of 466300164 is 461003664.

It is an interprime number because it is at equal distance from previous prime (466300139) and next prime (466300189).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 692532 + ... + 693204.

It is an arithmetic number, because the mean of its divisors is an integer number (12880140).

Almost surely, 2466300164 is an apocalyptic number.

466300164 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 466300164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618246720).

466300164 is an abundant number, since it is smaller than the sum of its proper divisors (770193276).

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

466300164 is a wasteful number, since it uses less digits than its factorization.

466300164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 901 (or 899 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 466300164 is about 21593.9844401167. The cubic root of 466300164 is about 775.4524802723.

The spelling of 466300164 in words is "four hundred sixty-six million, three hundred thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 29 33 44 58 66 87 116 132 174 181 319 348 362 543 638 673 724 957 1086 1276 1346 1914 1991 2019 2172 2692 3828 3982 4038 5249 5973 7403 7964 8076 10498 11946 14806 15747 19517 20996 22209 23892 29612 31494 39034 44418 57739 58551 62988 78068 88836 115478 117102 121813 173217 214687 230956 234204 243626 346434 365439 429374 487252 644061 692868 730878 858748 1288122 1339943 1461756 2576244 2679886 3532577 4019829 5359772 7065154 8039658 10597731 14130308 16079316 21195462 38858347 42390924 77716694 116575041 155433388 233150082 466300164