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81048320 = 285232753
BaseRepresentation
bin1001101010010…
…11001100000000
312122111200101122
410311023030000
5131222021240
612013051412
72002620323
oct465131400
9178450348
1081048320
1141827891
1223186b68
1313a395b2
14aa9a7ba
1571ae4b5
hex4d4b300

81048320 has 72 divisors (see below), whose sum is σ = 202650336. Its totient is φ = 30998528.

The previous prime is 81048313. The next prime is 81048437. The reversal of 81048320 is 2384018.

It is a self number, because there is not a number n which added to its sum of digits gives 81048320.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28064 + ... + 30816.

It is an arithmetic number, because the mean of its divisors is an integer number (2814588).

Almost surely, 281048320 is an apocalyptic number.

81048320 is a gapful number since it is divisible by the number (80) 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 81048320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101325168).

81048320 is an abundant number, since it is smaller than the sum of its proper divisors (121602016).

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

81048320 is a wasteful number, since it uses less digits than its factorization.

81048320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2797 (or 2783 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 81048320 is about 9002.6840442170. The cubic root of 81048320 is about 432.7608904086.

It can be divided in two parts, 8 and 1048320, that multiplied together give a triangular number (8386560 = T4095).

The spelling of 81048320 in words is "eighty-one million, forty-eight thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 128 160 184 230 256 320 368 460 640 736 920 1280 1472 1840 2753 2944 3680 5506 5888 7360 11012 13765 14720 22024 27530 29440 44048 55060 63319 88096 110120 126638 176192 220240 253276 316595 352384 440480 506552 633190 704768 880960 1013104 1266380 1761920 2026208 2532760 3523840 4052416 5065520 8104832 10131040 16209664 20262080 40524160 81048320