Search a number
-
+
468747216 = 24337155009
BaseRepresentation
bin11011111100001…
…000001111010000
31012200000211022000
4123330020033100
51424444402331
6114302514000
714421166650
oct3374101720
91180024260
10468747216
112206607a3
12110b95900
1376161b22
144637c360
152b2430e6
hex1bf083d0

468747216 has 80 divisors (see below), whose sum is σ = 1537699200. Its totient is φ = 133926912.

The previous prime is 468747203. The next prime is 468747217. The reversal of 468747216 is 612747864.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468747217) 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, 74481 + ... + 80528.

It is an arithmetic number, because the mean of its divisors is an integer number (19221240).

Almost surely, 2468747216 is an apocalyptic number.

It is an amenable number.

468747216 is an abundant number, since it is smaller than the sum of its proper divisors (1068951984).

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

468747216 is a wasteful number, since it uses less digits than its factorization.

468747216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155033 (or 155021 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 468747216 is about 21650.5708007895. The cubic root of 468747216 is about 776.8065886125.

The spelling of 468747216 in words is "four hundred sixty-eight million, seven hundred forty-seven thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 3024 155009 310018 465027 620036 930054 1085063 1240072 1395081 1860108 2170126 2480144 2790162 3255189 3720216 4185243 4340252 5580324 6510378 7440432 8370486 8680504 9765567 11160648 13020756 16740972 17361008 19531134 22321296 26041512 29296701 33481944 39062268 52083024 58593402 66963888 78124536 117186804 156249072 234373608 468747216