Search a number
-
+
645738672 = 243831091487
BaseRepresentation
bin100110011111010…
…011000010110000
31200000001220221010
4212133103002300
52310302114142
6144024230520
722000455015
oct4637230260
91600056833
10645738672
11301559027
1216030b440
13a3a214b7
1461a9170c
153ba54e9c
hex267d30b0

645738672 has 80 divisors (see below), whose sum is σ = 1704890880. Its totient is φ = 210560256.

The previous prime is 645738671. The next prime is 645738673. The reversal of 645738672 is 276837546.

It is an interprime number because it is at equal distance from previous prime (645738671) and next prime (645738673).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (645738671) 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, 433513 + ... + 434999.

It is an arithmetic number, because the mean of its divisors is an integer number (21311136).

Almost surely, 2645738672 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 645738672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (852445440).

645738672 is an abundant number, since it is smaller than the sum of its proper divisors (1059152208).

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

645738672 is a wasteful number, since it uses less digits than its factorization.

645738672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1690 (or 1684 counting only the distinct ones).

The product of its digits is 1693440, while the sum is 48.

The square root of 645738672 is about 25411.3886279361. The cubic root of 645738672 is about 864.3419642582.

The spelling of 645738672 in words is "six hundred forty-five million, seven hundred thirty-eight thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 83 109 166 218 249 327 332 436 498 654 664 872 996 1308 1328 1487 1744 1992 2616 2974 3984 4461 5232 5948 8922 9047 11896 17844 18094 23792 27141 35688 36188 54282 71376 72376 108564 123421 144752 162083 217128 246842 324166 370263 434256 486249 493684 648332 740526 972498 987368 1296664 1481052 1944996 1974736 2593328 2962104 3889992 5924208 7779984 13452889 26905778 40358667 53811556 80717334 107623112 161434668 215246224 322869336 645738672