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464684088 = 2331123103743
BaseRepresentation
bin11011101100101…
…000010000111000
31012101101101201210
4123230220100320
51422424342323
6114035443120
714341515051
oct3354502070
91171341653
10464684088
11219336040
1210b7564a0
137536b5cb
1445a01728
152abde293
hex1bb28438

464684088 has 128 divisors (see below), whose sum is σ = 1337057280. Its totient is φ = 133203840.

The previous prime is 464684063. The next prime is 464684093. The reversal of 464684088 is 880486464.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 625045 + ... + 625787.

It is an arithmetic number, because the mean of its divisors is an integer number (10445760).

Almost surely, 2464684088 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 464684088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668528640).

464684088 is an abundant number, since it is smaller than the sum of its proper divisors (872373192).

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

464684088 is a wasteful number, since it uses less digits than its factorization.

464684088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 889 (or 885 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 48.

The square root of 464684088 is about 21556.5323742016. The cubic root of 464684088 is about 774.5556039840. Note that the first 3 decimals are identical.

The spelling of 464684088 in words is "four hundred sixty-four million, six hundred eighty-four thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 23 24 33 44 46 66 69 88 92 103 132 138 184 206 253 264 276 309 412 506 552 618 743 759 824 1012 1133 1236 1486 1518 2024 2229 2266 2369 2472 2972 3036 3399 4458 4532 4738 5944 6072 6798 7107 8173 8916 9064 9476 13596 14214 16346 17089 17832 18952 24519 26059 27192 28428 32692 34178 49038 51267 52118 56856 65384 68356 76529 78177 98076 102534 104236 136712 153058 156354 187979 196152 205068 208472 229587 306116 312708 375958 410136 459174 563937 612232 625416 751916 841819 918348 1127874 1503832 1683638 1760167 1836696 2255748 2525457 3367276 3520334 4511496 5050914 5280501 6734552 7040668 10101828 10561002 14081336 19361837 20203656 21122004 38723674 42244008 58085511 77447348 116171022 154894696 232342044 464684088