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81378648 = 23331373397
BaseRepresentation
bin1001101100110…
…11110101011000
312200010110112000
410312123311120
5131313104043
612024121000
72005464351
oct466336530
9180113460
1081378648
1141a32a8a
1223306160
1313b23a60
14ab44d28
1572272d3
hex4d9bd58

81378648 has 128 divisors (see below), whose sum is σ = 247396800. Its totient is φ = 24634368.

The previous prime is 81378613. The next prime is 81378673. The reversal of 81378648 is 84687318.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 204786 + ... + 205182.

Almost surely, 281378648 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 81378648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123698400).

81378648 is an abundant number, since it is smaller than the sum of its proper divisors (166018152).

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

81378648 is a wasteful number, since it uses less digits than its factorization.

81378648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 488 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 81378648 is about 9021.0114732218. The cubic root of 81378648 is about 433.3480268522.

The spelling of 81378648 in words is "eighty-one million, three hundred seventy-eight thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 73 78 104 108 117 146 156 216 219 234 292 312 351 397 438 468 584 657 702 794 876 936 949 1191 1314 1404 1588 1752 1898 1971 2382 2628 2808 2847 3176 3573 3796 3942 4764 5161 5256 5694 7146 7592 7884 8541 9528 10322 10719 11388 14292 15483 15768 17082 20644 21438 22776 25623 28584 28981 30966 34164 41288 42876 46449 51246 57962 61932 68328 85752 86943 92898 102492 115924 123864 139347 173886 185796 204984 231848 260829 278694 347772 371592 376753 521658 557388 695544 753506 782487 1043316 1114776 1130259 1507012 1564974 2086632 2260518 3014024 3129948 3390777 4521036 6259896 6781554 9042072 10172331 13563108 20344662 27126216 40689324 81378648