Search a number
-
+
468942840 = 2332510091291
BaseRepresentation
bin11011111100110…
…111111111111000
31012200101202122100
4123330313333320
51430022132330
6114311023400
714422643202
oct3374677770
91180352570
10468942840
11220784773
1211106ab60
13761ccb92
14463cd772
152b281060
hex1bf37ff8

468942840 has 96 divisors (see below), whose sum is σ = 1526756400. Its totient is φ = 124830720.

The previous prime is 468942839. The next prime is 468942853. The reversal of 468942840 is 48249864.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 362595 + ... + 363885.

Almost surely, 2468942840 is an apocalyptic number.

468942840 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 468942840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (763378200).

468942840 is an abundant number, since it is smaller than the sum of its proper divisors (1057813560).

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

468942840 is a wasteful number, since it uses less digits than its factorization.

468942840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2317 (or 2310 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 468942840 is about 21655.0880857133. The cubic root of 468942840 is about 776.9146361003.

The spelling of 468942840 in words is "four hundred sixty-eight million, nine hundred forty-two thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 1009 1291 2018 2582 3027 3873 4036 5045 5164 6054 6455 7746 8072 9081 10090 10328 11619 12108 12910 15135 15492 18162 19365 20180 23238 24216 25820 30270 30984 36324 38730 40360 45405 46476 51640 58095 60540 72648 77460 90810 92952 116190 121080 154920 181620 232380 363240 464760 1302619 2605238 3907857 5210476 6513095 7815714 10420952 11723571 13026190 15631428 19539285 23447142 26052380 31262856 39078570 46894284 52104760 58617855 78157140 93788568 117235710 156314280 234471420 468942840