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81913248 = 2533113839
BaseRepresentation
bin1001110000111…
…10010110100000
312201010121212000
410320132112200
5131432210443
612043404000
72013152064
oct470362640
9181117760
1081913248
11422686aa
1223523600
1313c801a1
14ac43aa4
1572d08d3
hex4e1e5a0

81913248 has 96 divisors (see below), whose sum is σ = 241315200. Its totient is φ = 27030528.

The previous prime is 81913231. The next prime is 81913277. The reversal of 81913248 is 84231918.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97213 + ... + 98051.

It is an arithmetic number, because the mean of its divisors is an integer number (2513700).

Almost surely, 281913248 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 81913248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120657600).

81913248 is an abundant number, since it is smaller than the sum of its proper divisors (159401952).

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

81913248 is a wasteful number, since it uses less digits than its factorization.

81913248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 971 (or 957 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 81913248 is about 9050.5937926746. The cubic root of 81913248 is about 434.2948861999.

The spelling of 81913248 in words is "eighty-one million, nine hundred thirteen thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 113 144 216 226 288 339 432 452 678 839 864 904 1017 1356 1678 1808 2034 2517 2712 3051 3356 3616 4068 5034 5424 6102 6712 7551 8136 10068 10848 12204 13424 15102 16272 20136 22653 24408 26848 30204 32544 40272 45306 48816 60408 80544 90612 94807 97632 120816 181224 189614 241632 284421 362448 379228 568842 724896 758456 853263 1137684 1516912 1706526 2275368 2559789 3033824 3413052 4550736 5119578 6826104 9101472 10239156 13652208 20478312 27304416 40956624 81913248