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88381530 = 235537983
BaseRepresentation
bin1010100010010…
…01100001011010
320011022020200000
411101021201122
5140111202110
612434153430
72122142046
oct521114132
9204266600
1088381530
1145986396
1225722876
1315406383
14ba49026
157b5c1c0
hex544985a

88381530 has 96 divisors (see below), whose sum is σ = 244992384. Its totient is φ = 22908096.

The previous prime is 88381523. The next prime is 88381541. The reversal of 88381530 is 3518388.

It is a happy number.

It is a super-2 number, since 2×883815302 = 15622589690281800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 89419 + ... + 90401.

It is an arithmetic number, because the mean of its divisors is an integer number (2552004).

Almost surely, 288381530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88381530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122496192).

88381530 is an abundant number, since it is smaller than the sum of its proper divisors (156610854).

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

88381530 is a wasteful number, since it uses less digits than its factorization.

88381530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1042 (or 1030 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 88381530 is about 9401.1451430132. The cubic root of 88381530 is about 445.4379058442.

The spelling of 88381530 in words is "eighty-eight million, three hundred eighty-one thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 37 45 54 74 81 90 111 135 162 185 222 243 270 333 370 405 486 555 666 810 983 999 1110 1215 1665 1966 1998 2430 2949 2997 3330 4915 4995 5898 5994 8847 8991 9830 9990 14745 14985 17694 17982 26541 29490 29970 36371 44235 44955 53082 72742 79623 88470 89910 109113 132705 159246 181855 218226 238869 265410 327339 363710 398115 477738 545565 654678 796230 982017 1091130 1194345 1636695 1964034 2388690 2946051 3273390 4910085 5892102 8838153 9820170 14730255 17676306 29460510 44190765 88381530