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81962352 = 243219291033
BaseRepresentation
bin1001110001010…
…10010101110000
312201020010012200
410320222111300
5131440243402
612044423200
72013445203
oct470522560
9181203180
1081962352
11422a158a
1223547b00
1313c99644
14ac5793a
1572e021c
hex4e2a570

81962352 has 120 divisors (see below), whose sum is σ = 250021200. Its totient is φ = 24966144.

The previous prime is 81962351. The next prime is 81962369. The reversal of 81962352 is 25326918.

81962352 = T2363 + T2364 + ... + T2391.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81962351) 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, 78828 + ... + 79860.

It is an arithmetic number, because the mean of its divisors is an integer number (2083510).

Almost surely, 281962352 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 81962352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125010600).

81962352 is an abundant number, since it is smaller than the sum of its proper divisors (168058848).

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

81962352 is a wasteful number, since it uses less digits than its factorization.

81962352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1095 (or 1086 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 81962352 is about 9053.3061364344. The cubic root of 81962352 is about 434.3816501716.

The spelling of 81962352 in words is "eighty-one million, nine hundred sixty-two thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 29 36 38 48 57 58 72 76 87 114 116 144 152 171 174 228 232 261 304 342 348 456 464 522 551 684 696 912 1033 1044 1102 1368 1392 1653 2066 2088 2204 2736 3099 3306 4132 4176 4408 4959 6198 6612 8264 8816 9297 9918 12396 13224 16528 18594 19627 19836 24792 26448 29957 37188 39254 39672 49584 58881 59914 74376 78508 79344 89871 117762 119828 148752 157016 176643 179742 235524 239656 269613 314032 353286 359484 471048 479312 539226 569183 706572 718968 942096 1078452 1138366 1413144 1437936 1707549 2156904 2276732 2826288 3415098 4313808 4553464 5122647 6830196 9106928 10245294 13660392 20490588 27320784 40981176 81962352