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81731376 = 24331731359
BaseRepresentation
bin1001101111100…
…01111100110000
312200210101101000
410313301330300
5131410401001
612035442000
72011463616
oct467617460
9180711330
1081731376
1142153aa1
1223456300
1313c1847c
14abd76b6
157296a86
hex4df1f30

81731376 has 160 divisors (see below), whose sum is σ = 257126400. Its totient is φ = 24744960.

The previous prime is 81731341. The next prime is 81731381. The reversal of 81731376 is 67313718.

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

It is a self number, because there is not a number n which added to its sum of digits gives 81731376.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 227485 + ... + 227843.

It is an arithmetic number, because the mean of its divisors is an integer number (1607040).

Almost surely, 281731376 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 81731376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128563200).

81731376 is an abundant number, since it is smaller than the sum of its proper divisors (175395024).

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

81731376 is a wasteful number, since it uses less digits than its factorization.

81731376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 412 counting only the distinct ones).

The product of its digits is 21168, while the sum is 36.

The square root of 81731376 is about 9040.5406917949. The cubic root of 81731376 is about 433.9732263492.

The spelling of 81731376 in words is "eighty-one million, seven hundred thirty-one thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 31 34 36 48 51 54 62 68 72 93 102 108 124 136 144 153 186 204 216 248 272 279 306 359 372 408 432 459 496 527 558 612 718 744 816 837 918 1054 1077 1116 1224 1436 1488 1581 1674 1836 2108 2154 2232 2448 2872 3162 3231 3348 3672 4216 4308 4464 4743 5744 6103 6324 6462 6696 7344 8432 8616 9486 9693 11129 12206 12648 12924 13392 14229 17232 18309 18972 19386 22258 24412 25296 25848 28458 33387 36618 37944 38772 44516 48824 51696 54927 56916 66774 73236 75888 77544 89032 97648 100161 109854 113832 133548 146472 155088 164781 178064 189193 200322 219708 227664 267096 292944 300483 329562 378386 400644 439416 534192 567579 600966 659124 756772 801288 878832 1135158 1201932 1318248 1513544 1602576 1702737 2270316 2403864 2636496 3027088 3405474 4540632 4807728 5108211 6810948 9081264 10216422 13621896 20432844 27243792 40865688 81731376