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81379848 = 233112811097
BaseRepresentation
bin1001101100111…
…00001000001000
312200010112011110
410312130020020
5131313123343
612024130320
72005501014
oct466341010
9180115143
1081379848
1141a33980
12233069a0
1313b24474
14ab45544
157227833
hex4d9c208

81379848 has 64 divisors (see below), whose sum is σ = 222937920. Its totient is φ = 24550400.

The previous prime is 81379847. The next prime is 81379849. The reversal of 81379848 is 84897318.

It is an interprime number because it is at equal distance from previous prime (81379847) and next prime (81379849).

It is a junction number, because it is equal to n+sod(n) for n = 81379797 and 81379806.

It is not an unprimeable number, because it can be changed into a prime (81379847) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73636 + ... + 74732.

It is an arithmetic number, because the mean of its divisors is an integer number (3483405).

Almost surely, 281379848 is an apocalyptic number.

81379848 is a gapful number since it is divisible by the number (88) 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 81379848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111468960).

81379848 is an abundant number, since it is smaller than the sum of its proper divisors (141558072).

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

81379848 is a wasteful number, since it uses less digits than its factorization.

81379848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1398 (or 1394 counting only the distinct ones).

The product of its digits is 387072, while the sum is 48.

The square root of 81379848 is about 9021.0779843653. The cubic root of 81379848 is about 433.3501568748.

The spelling of 81379848 in words is "eighty-one million, three hundred seventy-nine thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 281 562 843 1097 1124 1686 2194 2248 3091 3291 3372 4388 6182 6582 6744 8776 9273 12067 12364 13164 18546 24134 24728 26328 36201 37092 48268 72402 74184 96536 144804 289608 308257 616514 924771 1233028 1849542 2466056 3390827 3699084 6781654 7398168 10172481 13563308 20344962 27126616 40689924 81379848