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459139068 = 223237834153
BaseRepresentation
bin11011010111011…
…110011111111100
31011222221200101200
4123113132133330
51420014422233
6113320535500
714243421603
oct3327363774
91158850350
10459139068
11216198a83
12109921590
137417972b
1444d9aa3a
152a496313
hex1b5de7fc

459139068 has 72 divisors (see below), whose sum is σ = 1206620688. Its totient is φ = 147080448.

The previous prime is 459139063. The next prime is 459139127. The reversal of 459139068 is 860931954.

It is a happy number.

459139068 is a `hidden beast` number, since 459 + 139 + 0 + 68 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (459139061) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 108480 + ... + 112632.

Almost surely, 2459139068 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 459139068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603310344).

459139068 is an abundant number, since it is smaller than the sum of its proper divisors (747481620).

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

459139068 is a wasteful number, since it uses less digits than its factorization.

459139068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4283 (or 4278 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 459139068 is about 21427.5306090086. The cubic root of 459139068 is about 771.4623741214.

The spelling of 459139068 in words is "four hundred fifty-nine million, one hundred thirty-nine thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 83 111 148 166 222 249 332 333 444 498 666 747 996 1332 1494 2988 3071 4153 6142 8306 9213 12284 12459 16612 18426 24918 27639 36852 37377 49836 55278 74754 110556 149508 153661 307322 344699 460983 614644 689398 921966 1034097 1378796 1382949 1843932 2068194 2765898 3102291 4136388 5531796 6204582 12409164 12753863 25507726 38261589 51015452 76523178 114784767 153046356 229569534 459139068