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81248370 = 23572192909
BaseRepresentation
bin1001101011111…
…00000001110010
312122212211210220
410311330001302
5131244421440
612021233510
72004412500
oct465740162
9178784726
1081248370
1141954115
1223262896
1313aa9678
14ab0d670
1571ed8d0
hex4d7c072

81248370 has 96 divisors (see below), whose sum is σ = 238852800. Its totient is φ = 17587584.

The previous prime is 81248329. The next prime is 81248381. The reversal of 81248370 is 7384218.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 26476 + ... + 29384.

It is an arithmetic number, because the mean of its divisors is an integer number (2488050).

Almost surely, 281248370 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81248370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119426400).

81248370 is an abundant number, since it is smaller than the sum of its proper divisors (157604430).

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

81248370 is a wasteful number, since it uses less digits than its factorization.

81248370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2952 (or 2945 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 81248370 is about 9013.7877720745. The cubic root of 81248370 is about 433.1166563029.

It can be divided in two parts, 81248 and 370, that added together give a palindrome (81618).

The spelling of 81248370 in words is "eighty-one million, two hundred forty-eight thousand, three hundred seventy".

Divisors: 1 2 3 5 6 7 10 14 15 19 21 30 35 38 42 49 57 70 95 98 105 114 133 147 190 210 245 266 285 294 399 490 570 665 735 798 931 1330 1470 1862 1995 2793 2909 3990 4655 5586 5818 8727 9310 13965 14545 17454 20363 27930 29090 40726 43635 55271 61089 87270 101815 110542 122178 142541 165813 203630 276355 285082 305445 331626 386897 427623 552710 610890 712705 773794 829065 855246 1160691 1425410 1658130 1934485 2138115 2321382 2708279 3868970 4276230 5416558 5803455 8124837 11606910 13541395 16249674 27082790 40624185 81248370