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468648152 = 23727611571
BaseRepresentation
bin11011111011110…
…000000011011000
31012122211210101222
4123323300003120
51424433220102
6114300431212
714420305100
oct3373600330
91178753358
10468648152
112205a3325
12110b48508
13761289cb
1446354200
152b223aa2
hex1bef00d8

468648152 has 48 divisors (see below), whose sum is σ = 1024173720. Its totient is φ = 200457600.

The previous prime is 468648127. The next prime is 468648157. The reversal of 468648152 is 251846864.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468648157) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 297527 + ... + 299097.

Almost surely, 2468648152 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 468648152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512086860).

468648152 is an abundant number, since it is smaller than the sum of its proper divisors (555525568).

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

468648152 is a wasteful number, since it uses less digits than its factorization.

468648152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2352 (or 2341 counting only the distinct ones).

The product of its digits is 368640, while the sum is 44.

The square root of 468648152 is about 21648.2828880260. The cubic root of 468648152 is about 776.7518618948.

The spelling of 468648152 in words is "four hundred sixty-eight million, six hundred forty-eight thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 392 761 1522 1571 3044 3142 5327 6088 6284 10654 10997 12568 21308 21994 37289 42616 43988 74578 76979 87976 149156 153958 298312 307916 615832 1195531 2391062 4782124 8368717 9564248 16737434 33474868 58581019 66949736 117162038 234324076 468648152