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81929460 = 223517471709
BaseRepresentation
bin1001110001000…
…10010011110100
312201011110002110
410320202103310
5131433220320
612044011020
72013250254
oct470422364
9181143073
1081929460
11422798a8
1223530a70
1313c87692
14ac49964
1572d55e0
hex4e224f4

81929460 has 96 divisors (see below), whose sum is σ = 248209920. Its totient is φ = 20113408.

The previous prime is 81929459. The next prime is 81929461. The reversal of 81929460 is 6492918.

It is an interprime number because it is at equal distance from previous prime (81929459) and next prime (81929461).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81929461) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47086 + ... + 48794.

It is an arithmetic number, because the mean of its divisors is an integer number (2585520).

Almost surely, 281929460 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 81929460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124104960).

81929460 is an abundant number, since it is smaller than the sum of its proper divisors (166280460).

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

81929460 is a wasteful number, since it uses less digits than its factorization.

81929460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1785 (or 1783 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 81929460 is about 9051.4893802070. The cubic root of 81929460 is about 434.3235357140.

The spelling of 81929460 in words is "eighty-one million, nine hundred twenty-nine thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 47 51 60 68 85 94 102 141 170 188 204 235 255 282 340 470 510 564 705 799 940 1020 1410 1598 1709 2397 2820 3196 3418 3995 4794 5127 6836 7990 8545 9588 10254 11985 15980 17090 20508 23970 25635 29053 34180 47940 51270 58106 80323 87159 102540 116212 145265 160646 174318 240969 290530 321292 348636 401615 435795 481938 581060 803230 871590 963876 1204845 1365491 1606460 1743180 2409690 2730982 4096473 4819380 5461964 6827455 8192946 13654910 16385892 20482365 27309820 40964730 81929460