Search a number
-
+
81379272 = 233131767229
BaseRepresentation
bin1001101100110…
…11111111001000
312200010111101010
410312123333020
5131313114042
612024123520
72005466232
oct466337710
9180114333
1081379272
1141a334a7
12233065a0
1313b24120
14ab45252
15722759c
hex4d9bfc8

81379272 has 128 divisors (see below), whose sum is σ = 236476800. Its totient is φ = 23113728.

The previous prime is 81379241. The next prime is 81379283. The reversal of 81379272 is 27297318.

It is a super-2 number, since 2×813792722 = 13245171822499968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 81379272.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 355254 + ... + 355482.

It is an arithmetic number, because the mean of its divisors is an integer number (1847475).

Almost surely, 281379272 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 81379272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118238400).

81379272 is an abundant number, since it is smaller than the sum of its proper divisors (155097528).

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

81379272 is a wasteful number, since it uses less digits than its factorization.

81379272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 331 counting only the distinct ones).

The product of its digits is 42336, while the sum is 39.

The square root of 81379272 is about 9021.0460590776. The cubic root of 81379272 is about 433.3491344666.

The spelling of 81379272 in words is "eighty-one million, three hundred seventy-nine thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 17 24 26 34 39 51 52 67 68 78 102 104 134 136 156 201 204 221 229 268 312 402 408 442 458 536 663 687 804 871 884 916 1139 1326 1374 1608 1742 1768 1832 2278 2613 2652 2748 2977 3417 3484 3893 4556 5226 5304 5496 5954 6834 6968 7786 8931 9112 10452 11679 11908 13668 14807 15343 15572 17862 20904 23358 23816 27336 29614 30686 31144 35724 44421 46029 46716 50609 59228 61372 71448 88842 92058 93432 101218 118456 122744 151827 177684 184116 199459 202436 260831 303654 355368 368232 398918 404872 521662 598377 607308 782493 797836 1043324 1196754 1214616 1564986 1595672 2086648 2393508 3129972 3390803 4787016 6259944 6781606 10172409 13563212 20344818 27126424 40689636 81379272