Search a number
-
+
4673214648 = 233510323339
BaseRepresentation
bin1000101101000101…
…11001100010111000
3110001200110220100000
410112202321202320
534032320332043
62051415113000
7223543445334
oct42642714270
913050426300
104673214648
111a889a9373
12aa5072760
1359624308b
143249187c4
151c54062d3
hex1168b98b8

4673214648 has 96 divisors (see below), whose sum is σ = 13253385600. Its totient is φ = 1542548448.

The previous prime is 4673214641. The next prime is 4673214671. The reversal of 4673214648 is 8464123764.

4673214648 is a `hidden beast` number, since 467 + 3 + 2 + 146 + 48 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4673214641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 188563 + ... + 211901.

It is an arithmetic number, because the mean of its divisors is an integer number (138056100).

Almost surely, 24673214648 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 4673214648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6626692800).

4673214648 is an abundant number, since it is smaller than the sum of its proper divisors (8580170952).

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

4673214648 is a wasteful number, since it uses less digits than its factorization.

4673214648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23463 (or 23447 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The square root of 4673214648 is about 68360.9146223191. The cubic root of 4673214648 is about 1671.8805411703.

It can be divided in two parts, 467321 and 4648, that added together give a square (471969 = 6872).

The spelling of 4673214648 in words is "four billion, six hundred seventy-three million, two hundred fourteen thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 103 108 162 206 216 243 309 324 412 486 618 648 824 927 972 1236 1854 1944 2472 2781 3708 5562 7416 8343 11124 16686 22248 23339 25029 33372 46678 50058 66744 70017 93356 100116 140034 186712 200232 210051 280068 420102 560136 630153 840204 1260306 1680408 1890459 2403917 2520612 3780918 4807834 5041224 5671377 7211751 7561836 9615668 11342754 14423502 15123672 19231336 21635253 22685508 28847004 43270506 45371016 57694008 64905759 86541012 129811518 173082024 194717277 259623036 389434554 519246072 584151831 778869108 1168303662 1557738216 2336607324 4673214648