Search a number
-
+
467086152 = 2331317831061
BaseRepresentation
bin11011110101110…
…010101101001000
31012112220102202010
4123311302231020
51424033224102
6114203135520
714401111131
oct3365625510
91175812663
10467086152
1121a726815
121105145a0
13759cca50
1446068c88
152b015d6c
hex1bd72b48

467086152 has 128 divisors (see below), whose sum is σ = 1348824960. Its totient is φ = 133509120.

The previous prime is 467086121. The next prime is 467086171. The reversal of 467086152 is 251680764.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 467086152.

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, 439702 + ... + 440762.

It is an arithmetic number, because the mean of its divisors is an integer number (10537695).

Almost surely, 2467086152 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 467086152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674412480).

467086152 is an abundant number, since it is smaller than the sum of its proper divisors (881738808).

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

467086152 is a wasteful number, since it uses less digits than its factorization.

467086152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1183 (or 1179 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 467086152 is about 21612.1760126092. The cubic root of 467086152 is about 775.8879324116.

The spelling of 467086152 in words is "four hundred sixty-seven million, eighty-six thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 17 24 26 34 39 51 52 68 78 83 102 104 136 156 166 204 221 249 312 332 408 442 498 663 664 884 996 1061 1079 1326 1411 1768 1992 2122 2158 2652 2822 3183 3237 4233 4244 4316 5304 5644 6366 6474 8466 8488 8632 11288 12732 12948 13793 16932 18037 18343 25464 25896 27586 33864 36074 36686 41379 54111 55029 55172 72148 73372 82758 88063 108222 110058 110344 144296 146744 165516 176126 216444 220116 234481 264189 331032 352252 432888 440232 468962 528378 703443 704504 937924 1056756 1144819 1406886 1497071 1875848 2113512 2289638 2813772 2994142 3434457 4491213 4579276 5627544 5988284 6868914 8982426 9158552 11976568 13737828 17964852 19461923 27475656 35929704 38923846 58385769 77847692 116771538 155695384 233543076 467086152