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81471312 = 24331389163
BaseRepresentation
bin1001101101100…
…10011101010000
312200022011122000
410312302131100
5131324040222
612030114000
72006331456
oct466623520
9180264560
1081471312
1141a9666a
122334b900
1313b56ca0
14ab6a9d6
1572449ac
hex4db2750

81471312 has 160 divisors (see below), whose sum is σ = 256233600. Its totient is φ = 24634368.

The previous prime is 81471311. The next prime is 81471349. The reversal of 81471312 is 21317418.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81471311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 499743 + ... + 499905.

It is an arithmetic number, because the mean of its divisors is an integer number (1601460).

Almost surely, 281471312 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 81471312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128116800).

81471312 is an abundant number, since it is smaller than the sum of its proper divisors (174762288).

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

81471312 is a wasteful number, since it uses less digits than its factorization.

81471312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 270 counting only the distinct ones).

The product of its digits is 1344, while the sum is 27.

The square root of 81471312 is about 9026.1460214202. The cubic root of 81471312 is about 433.5124456144.

The spelling of 81471312 in words is "eighty-one million, four hundred seventy-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 89 104 108 117 144 156 163 178 208 216 234 267 312 326 351 356 432 468 489 534 624 652 702 712 801 936 978 1068 1157 1304 1404 1424 1467 1602 1872 1956 2119 2136 2314 2403 2608 2808 2934 3204 3471 3912 4238 4272 4401 4628 4806 5616 5868 6357 6408 6942 7824 8476 8802 9256 9612 10413 11736 12714 12816 13884 14507 16952 17604 18512 19071 19224 20826 23472 25428 27768 29014 31239 33904 35208 38142 38448 41652 43521 50856 55536 57213 58028 62478 70416 76284 83304 87042 101712 114426 116056 124956 130563 152568 166608 174084 188591 228852 232112 249912 261126 305136 348168 377182 391689 457704 499824 522252 565773 696336 754364 783378 915408 1044504 1131546 1508728 1566756 1697319 2089008 2263092 3017456 3133512 3394638 4526184 5091957 6267024 6789276 9052368 10183914 13578552 20367828 27157104 40735656 81471312