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461890068 = 223172638609
BaseRepresentation
bin11011100001111…
…110001000010100
31012012010110001120
4123201332020110
51421220440233
6113455523540
714306000163
oct3341761024
91165113046
10461890068
112177a7932
1210a8295b0
1374900943
14454b53da
152a83b4b3
hex1b87e214

461890068 has 48 divisors (see below), whose sum is σ = 1145612160. Its totient is φ = 144338944.

The previous prime is 461890067. The next prime is 461890087. The reversal of 461890068 is 860098164.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461890061) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49348 + ... + 57956.

It is an arithmetic number, because the mean of its divisors is an integer number (23866920).

Almost surely, 2461890068 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 461890068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572806080).

461890068 is an abundant number, since it is smaller than the sum of its proper divisors (683722092).

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

461890068 is a wasteful number, since it uses less digits than its factorization.

461890068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8896 (or 8894 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 461890068 is about 21491.6278583080. The cubic root of 461890068 is about 773.0000842358. Note that the first 4 decimals are identical.

The spelling of 461890068 in words is "four hundred sixty-one million, eight hundred ninety thousand, sixty-eight".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 263 526 789 1052 1578 3156 4471 8609 8942 13413 17218 17884 25827 26826 34436 51654 53652 103308 146353 292706 439059 585412 878118 1756236 2264167 4528334 6792501 9056668 13585002 27170004 38490839 76981678 115472517 153963356 230945034 461890068