Search a number
-
+
272643448 = 237211531193
BaseRepresentation
bin10000010000000…
…011010101111000
3201000000201111111
4100100003111320
51024244042243
643015410104
76520300600
oct2020032570
9630021444
10272643448
1112a99a070
1277383934
13446400ac
14282d1c00
1518e0839d
hex10403578

272643448 has 96 divisors (see below), whose sum is σ = 661523760. Its totient is φ = 104133120.

The previous prime is 272643443. The next prime is 272643451. The reversal of 272643448 is 844346272.

It is a self number, because there is not a number n which added to its sum of digits gives 272643448.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (272643443) 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, 227940 + ... + 229132.

Almost surely, 2272643448 is an apocalyptic number.

272643448 is a gapful number since it is divisible by the number (28) 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 272643448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330761880).

272643448 is an abundant number, since it is smaller than the sum of its proper divisors (388880312).

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

272643448 is a wasteful number, since it uses less digits than its factorization.

272643448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1277 (or 1266 counting only the distinct ones).

The product of its digits is 258048, while the sum is 40.

The square root of 272643448 is about 16511.9183622013. The cubic root of 272643448 is about 648.4328700996.

The spelling of 272643448 in words is "two hundred seventy-two million, six hundred forty-three thousand, four hundred forty-eight".

Divisors: 1 2 4 7 8 11 14 22 28 44 49 53 56 77 88 98 106 154 196 212 308 371 392 424 539 583 616 742 1078 1166 1193 1484 2156 2332 2386 2597 2968 4081 4312 4664 4772 5194 8162 8351 9544 10388 13123 16324 16702 20776 26246 28567 32648 33404 52492 57134 58457 63229 66808 91861 104984 114268 116914 126458 183722 228536 233828 252916 367444 442603 467656 505832 643027 695519 734888 885206 1286054 1391038 1770412 2572108 2782076 3098221 3540824 4868633 5144216 5564152 6196442 9737266 12392884 19474532 24785768 34080431 38949064 68160862 136321724 272643448