Search a number
-
+
468934840 = 235112115051
BaseRepresentation
bin11011111100110…
…110000010111000
31012200101100200001
4123330312002320
51430021403330
6114310522344
714422610653
oct3374660270
91180340601
10468934840
11220779760
121110663b4
13761c934a
14463ca89a
152b27d9ca
hex1bf360b8

468934840 has 64 divisors (see below), whose sum is σ = 1156705920. Its totient is φ = 169680000.

The previous prime is 468934813. The next prime is 468934841. The reversal of 468934840 is 48439864.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468934841) 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, 90315 + ... + 95365.

It is an arithmetic number, because the mean of its divisors is an integer number (18073530).

Almost surely, 2468934840 is an apocalyptic number.

468934840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 468934840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578352960).

468934840 is an abundant number, since it is smaller than the sum of its proper divisors (687771080).

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

468934840 is a wasteful number, since it uses less digits than its factorization.

468934840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5284 (or 5280 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 46.

The square root of 468934840 is about 21654.9033708304. The cubic root of 468934840 is about 776.9102181117.

The spelling of 468934840 in words is "four hundred sixty-eight million, nine hundred thirty-four thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 211 220 422 440 844 1055 1688 2110 2321 4220 4642 5051 8440 9284 10102 11605 18568 20204 23210 25255 40408 46420 50510 55561 92840 101020 111122 202040 222244 277805 444488 555610 1065761 1111220 2131522 2222440 4263044 5328805 8526088 10657610 11723371 21315220 23446742 42630440 46893484 58616855 93786968 117233710 234467420 468934840