Search a number
-
+
81952434 = 23219298263
BaseRepresentation
bin1001110001001…
…11111010110010
312201012121121100
410320213322302
5131434434214
612044305230
72013404244
oct470477262
9181177540
1081952434
1142295093
1223542216
1313c94c85
14ac54094
1572dc309
hex4e27eb2

81952434 has 48 divisors (see below), whose sum is σ = 193377600. Its totient is φ = 24984288.

The previous prime is 81952397. The next prime is 81952471. The reversal of 81952434 is 43425918.

It is an interprime number because it is at equal distance from previous prime (81952397) and next prime (81952471).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5787 + ... + 14049.

It is an arithmetic number, because the mean of its divisors is an integer number (4028700).

Almost surely, 281952434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81952434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96688800).

81952434 is an abundant number, since it is smaller than the sum of its proper divisors (111425166).

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

81952434 is a wasteful number, since it uses less digits than its factorization.

81952434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8319 (or 8316 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 81952434 is about 9052.7583641672. The cubic root of 81952434 is about 434.3641284238.

The spelling of 81952434 in words is "eighty-one million, nine hundred fifty-two thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 19 29 38 57 58 87 114 171 174 261 342 522 551 1102 1653 3306 4959 8263 9918 16526 24789 49578 74367 148734 156997 239627 313994 470991 479254 718881 941982 1412973 1437762 2156643 2825946 4313286 4552913 9105826 13658739 27317478 40976217 81952434