Search a number
-
+
643900272 = 243192330697
BaseRepresentation
bin100110011000010…
…010001101110000
31122212121112010020
4212120102031300
52304314302042
6143521003440
721646030161
oct4630221560
91585545106
10643900272
11300512894
1215b783580
13a35297a2
1461733768
153b7e03ec
hex26612370

643900272 has 80 divisors (see below), whose sum is σ = 1827144960. Its totient is φ = 194489856.

The previous prime is 643900267. The next prime is 643900273. The reversal of 643900272 is 272009346.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (643900273) 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, 5628 + ... + 36324.

It is an arithmetic number, because the mean of its divisors is an integer number (22839312).

Almost surely, 2643900272 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 643900272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (913572480).

643900272 is an abundant number, since it is smaller than the sum of its proper divisors (1183244688).

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

643900272 is a wasteful number, since it uses less digits than its factorization.

643900272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30750 (or 30744 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 643900272 is about 25375.1900879580. The cubic root of 643900272 is about 863.5209321194.

The spelling of 643900272 in words is "six hundred forty-three million, nine hundred thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 19 23 24 38 46 48 57 69 76 92 114 138 152 184 228 276 304 368 437 456 552 874 912 1104 1311 1748 2622 3496 5244 6992 10488 20976 30697 61394 92091 122788 184182 245576 368364 491152 583243 706031 736728 1166486 1412062 1473456 1749729 2118093 2332972 2824124 3499458 4236186 4665944 5648248 6998916 8472372 9331888 11296496 13414589 13997832 16944744 26829178 27995664 33889488 40243767 53658356 80487534 107316712 160975068 214633424 321950136 643900272