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81941376 = 27311191021
BaseRepresentation
bin1001110001001…
…01001110000000
312201012001102210
410320211032000
5131434111001
612044142120
72013330066
oct470451600
9181161383
1081941376
1142287850
1223537940
1313c8cc2a
14ac50036
1572d8dd6
hex4e25380

81941376 has 128 divisors (see below), whose sum is σ = 250185600. Its totient is φ = 23500800.

The previous prime is 81941371. The next prime is 81941381. The reversal of 81941376 is 67314918.

It is an interprime number because it is at equal distance from previous prime (81941371) and next prime (81941381).

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81941371) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79746 + ... + 80766.

It is an arithmetic number, because the mean of its divisors is an integer number (1954575).

Almost surely, 281941376 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 81941376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125092800).

81941376 is an abundant number, since it is smaller than the sum of its proper divisors (168244224).

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

81941376 is a wasteful number, since it uses less digits than its factorization.

81941376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1068 (or 1056 counting only the distinct ones).

The product of its digits is 36288, while the sum is 39.

The square root of 81941376 is about 9052.1475904892. The cubic root of 81941376 is about 434.3445910151.

It can be divided in two parts, 819 and 41376, that added together give a triangular number (42195 = T290).

The spelling of 81941376 in words is "eighty-one million, nine hundred forty-one thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 32 33 38 44 48 57 64 66 76 88 96 114 128 132 152 176 192 209 228 264 304 352 384 418 456 528 608 627 704 836 912 1021 1056 1216 1254 1408 1672 1824 2042 2112 2432 2508 3063 3344 3648 4084 4224 5016 6126 6688 7296 8168 10032 11231 12252 13376 16336 19399 20064 22462 24504 26752 32672 33693 38798 40128 44924 49008 58197 65344 67386 77596 80256 89848 98016 116394 130688 134772 155192 179696 196032 213389 232788 269544 310384 359392 392064 426778 465576 539088 620768 640167 718784 853556 931152 1078176 1241536 1280334 1437568 1707112 1862304 2156352 2483072 2560668 3414224 3724608 4312704 5121336 6828448 7449216 10242672 13656896 20485344 27313792 40970688 81941376