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81962244 = 2232713127197
BaseRepresentation
bin1001110001010…
…10010100000100
312201020010001200
410320222110010
5131440242434
612044422500
72013444660
oct470522404
9181203050
1081962244
11422a14a1
1223547a30
1313c99590
14ac578a0
1572e0199
hex4e2a504

81962244 has 144 divisors (see below), whose sum is σ = 258306048. Its totient is φ = 21337344.

The previous prime is 81962227. The next prime is 81962261. The reversal of 81962244 is 44226918.

It is an interprime number because it is at equal distance from previous prime (81962227) and next prime (81962261).

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

It is a junction number, because it is equal to n+sod(n) for n = 81962199 and 81962208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 415954 + ... + 416150.

It is an arithmetic number, because the mean of its divisors is an integer number (1793792).

Almost surely, 281962244 is an apocalyptic number.

81962244 is a gapful number since it is divisible by the number (84) 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 81962244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129153024).

81962244 is an abundant number, since it is smaller than the sum of its proper divisors (176343804).

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

81962244 is a wasteful number, since it uses less digits than its factorization.

81962244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 349 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 81962244 is about 9053.3001717606. The cubic root of 81962244 is about 434.3814593798.

It can be divided in two parts, 8196 and 2244, that added together give a triangular number (10440 = T144).

The spelling of 81962244 in words is "eighty-one million, nine hundred sixty-two thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 127 156 182 197 234 252 254 273 364 381 394 468 508 546 591 762 788 819 889 1092 1143 1182 1379 1524 1638 1651 1773 1778 2286 2364 2561 2667 2758 3276 3302 3546 3556 4137 4572 4953 5122 5334 5516 6604 7092 7683 8001 8274 9906 10244 10668 11557 12411 14859 15366 16002 16548 17927 19812 23049 23114 24822 25019 29718 30732 32004 34671 35854 46098 46228 49644 50038 53781 59436 69342 71708 75057 92196 100076 104013 107562 138684 150114 161343 175133 208026 215124 225171 300228 322686 325247 350266 416052 450342 525399 645372 650494 700532 900684 975741 1050798 1300988 1576197 1951482 2101596 2276729 2927223 3152394 3902964 4553458 5854446 6304788 6830187 9106916 11708892 13660374 20490561 27320748 40981122 81962244