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468478386 = 232313722691
BaseRepresentation
bin11011111011000…
…110100110110010
31012122112011112100
4123323012212302
51424412302021
6114253041230
714416000125
oct3373064662
91178464470
10468478386
11220497822
12110a86216
137609965c
144630c3bc
152b1dd626
hex1bec69b2

468478386 has 48 divisors (see below), whose sum is σ = 1076145408. Its totient is φ = 147031200.

The previous prime is 468478379. The next prime is 468478393. The reversal of 468478386 is 683874864.

It is an interprime number because it is at equal distance from previous prime (468478379) and next prime (468478393).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9301 + ... + 31991.

It is an arithmetic number, because the mean of its divisors is an integer number (22419696).

Almost surely, 2468478386 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 468478386, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538072704).

468478386 is an abundant number, since it is smaller than the sum of its proper divisors (607667022).

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

468478386 is a wasteful number, since it uses less digits than its factorization.

468478386 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22767 (or 22764 counting only the distinct ones).

The product of its digits is 6193152, while the sum is 54.

The square root of 468478386 is about 21644.3615290449. The cubic root of 468478386 is about 776.6580587706.

It can be divided in two parts, 468478 and 386, that added together give a palindrome (468864).

The spelling of 468478386 in words is "four hundred sixty-eight million, four hundred seventy-eight thousand, three hundred eighty-six".

Divisors: 1 2 3 6 9 18 31 37 62 74 93 111 186 222 279 333 558 666 1147 2294 3441 6882 10323 20646 22691 45382 68073 136146 204219 408438 703421 839567 1406842 1679134 2110263 2518701 4220526 5037402 6330789 7556103 12661578 15112206 26026577 52053154 78079731 156159462 234239193 468478386