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466616052 = 22347233883
BaseRepresentation
bin11011110011111…
…111111011110100
31012112000112220000
4123303333323310
51423423203202
6114145111300
714364112440
oct3363777364
91175015800
10466616052
1121a435601
12110328530
1375896a96
1445d85820
152ae7191c
hex1bcffef4

466616052 has 120 divisors (see below), whose sum is σ = 1401656256. Its totient is φ = 132596352.

The previous prime is 466616021. The next prime is 466616057. The reversal of 466616052 is 250616664.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 466615998 and 466616016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (466616057) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 528003 + ... + 528885.

Almost surely, 2466616052 is an apocalyptic number.

466616052 is a gapful number since it is divisible by the number (42) 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 466616052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700828128).

466616052 is an abundant number, since it is smaller than the sum of its proper divisors (935040204).

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

466616052 is a wasteful number, since it uses less digits than its factorization.

466616052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1139 (or 1128 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 466616052 is about 21601.2974610323. The cubic root of 466616052 is about 775.6275469345.

The spelling of 466616052 in words is "four hundred sixty-six million, six hundred sixteen thousand, fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 233 252 324 378 466 567 699 756 883 932 1134 1398 1631 1766 2097 2268 2649 2796 3262 3532 4194 4893 5298 6181 6291 6524 7947 8388 9786 10596 12362 12582 14679 15894 18543 18873 19572 23841 24724 25164 29358 31788 37086 37746 44037 47682 55629 58716 71523 74172 75492 88074 95364 111258 132111 143046 166887 176148 205739 222516 264222 286092 333774 411478 500661 528444 617217 667548 822956 1001322 1234434 1440173 1851651 2002644 2468868 2880346 3703302 4320519 5554953 5760692 7406604 8641038 11109906 12961557 16664859 17282076 22219812 25923114 33329718 38884671 51846228 66659436 77769342 116654013 155538684 233308026 466616052