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81525248 = 29723243
BaseRepresentation
bin1001101101111…
…11101000000000
312200101220121122
410312333220000
5131332301443
612031211412
72006644640
oct466775000
9180356548
1081525248
1142023142
1223376b68
1313b756bc
14ab82520
157255968
hex4dbfa00

81525248 has 120 divisors (see below), whose sum is σ = 199133088. Its totient is φ = 32643072.

The previous prime is 81525247. The next prime is 81525263. The reversal of 81525248 is 84252518.

It is a happy number.

It is a super-2 number, since 2×815252482 = 13292732122923008, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81525247) 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 11 ways as a sum of consecutive naturals, for example, 1895915 + ... + 1895957.

Almost surely, 281525248 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 81525248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99566544).

81525248 is an abundant number, since it is smaller than the sum of its proper divisors (117607840).

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

81525248 is an equidigital number, since it uses as much as digits as its factorization.

81525248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 75 counting only the distinct ones).

The product of its digits is 25600, while the sum is 35.

The square root of 81525248 is about 9029.1332917396. The cubic root of 81525248 is about 433.6080897897.

The spelling of 81525248 in words is "eighty-one million, five hundred twenty-five thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 23 28 32 43 46 56 64 86 92 112 128 161 172 184 224 256 301 322 344 368 448 512 529 602 644 688 736 896 989 1058 1204 1288 1376 1472 1792 1978 2116 2408 2576 2752 2944 3584 3703 3956 4232 4816 5152 5504 5888 6923 7406 7912 8464 9632 10304 11008 11776 13846 14812 15824 16928 19264 20608 22016 22747 27692 29624 31648 33856 38528 41216 45494 55384 59248 63296 67712 77056 82432 90988 110768 118496 126592 135424 154112 159229 181976 221536 236992 253184 270848 318458 363952 443072 473984 506368 636916 727904 886144 947968 1273832 1455808 1772288 1895936 2547664 2911616 3544576 5095328 5823232 10190656 11646464 20381312 40762624 81525248