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468080712 = 2332112112801
BaseRepresentation
bin11011111001100…
…101100001001000
31012121202222000200
4123321211201020
51424312040322
6114240332200
714412422541
oct3371454110
91177688020
10468080712
11220245a70
12110914060
1375c8a648
14462474c8
152b1608ac
hex1be65848

468080712 has 96 divisors (see below), whose sum is σ = 1390016160. Its totient is φ = 141120000.

The previous prime is 468080663. The next prime is 468080729. The reversal of 468080712 is 217080864.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 165712 + ... + 168512.

It is an arithmetic number, because the mean of its divisors is an integer number (14479335).

Almost surely, 2468080712 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 468080712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695008080).

468080712 is an abundant number, since it is smaller than the sum of its proper divisors (921935448).

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

468080712 is a wasteful number, since it uses less digits than its factorization.

468080712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3035 (or 3028 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 468080712 is about 21635.1730291209. The cubic root of 468080712 is about 776.4382377787.

The spelling of 468080712 in words is "four hundred sixty-eight million, eighty thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 211 264 396 422 633 792 844 1266 1688 1899 2321 2532 2801 3798 4642 5064 5602 6963 7596 8403 9284 11204 13926 15192 16806 18568 20889 22408 25209 27852 30811 33612 41778 50418 55704 61622 67224 83556 92433 100836 123244 167112 184866 201672 246488 277299 369732 554598 591011 739464 1109196 1182022 1773033 2218392 2364044 3546066 4728088 5319099 6501121 7092132 10638198 13002242 14184264 19503363 21276396 26004484 39006726 42552792 52008968 58510089 78013452 117020178 156026904 234040356 468080712