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81399648 = 25311194057
BaseRepresentation
bin1001101101000…
…00111101100000
312200011112022210
410312200331200
5131314242043
612024402120
72005612521
oct466407540
9180145283
1081399648
1141a47840
1223316340
1313b30495
14ab4c848
15722d633
hex4da0f60

81399648 has 96 divisors (see below), whose sum is σ = 245427840. Its totient is φ = 23362560.

The previous prime is 81399623. The next prime is 81399673. The reversal of 81399648 is 84699318.

It is an interprime number because it is at equal distance from previous prime (81399623) and next prime (81399673).

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 (48).

It is a junction number, because it is equal to n+sod(n) for n = 81399597 and 81399606.

It is a congruent number.

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, 18036 + ... + 22092.

It is an arithmetic number, because the mean of its divisors is an integer number (2556540).

Almost surely, 281399648 is an apocalyptic number.

81399648 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 81399648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122713920).

81399648 is an abundant number, since it is smaller than the sum of its proper divisors (164028192).

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

81399648 is a wasteful number, since it uses less digits than its factorization.

81399648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4100 (or 4092 counting only the distinct ones).

The product of its digits is 373248, while the sum is 48.

The square root of 81399648 is about 9022.1753474425. The cubic root of 81399648 is about 433.3852992249.

The spelling of 81399648 in words is "eighty-one million, three hundred ninety-nine thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 32 33 38 44 48 57 66 76 88 96 114 132 152 176 209 228 264 304 352 418 456 528 608 627 836 912 1056 1254 1672 1824 2508 3344 4057 5016 6688 8114 10032 12171 16228 20064 24342 32456 44627 48684 64912 77083 89254 97368 129824 133881 154166 178508 194736 231249 267762 308332 357016 389472 462498 535524 616664 714032 847913 924996 1071048 1233328 1428064 1695826 1849992 2142096 2466656 2543739 3391652 3699984 4284192 5087478 6783304 7399968 10174956 13566608 20349912 27133216 40699824 81399648