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102642488 = 2313231279
BaseRepresentation
bin1100001111000…
…11001100111000
321011010210000122
412013203030320
5202234024423
614103552412
72354306144
oct607431470
9234123018
10102642488
1152a36903
122a45b708
131835a500
14d8bc224
1590278c8
hex61e3338

102642488 has 72 divisors (see below), whose sum is σ = 218062800. Its totient is φ = 45264960.

The previous prime is 102642451. The next prime is 102642497. The reversal of 102642488 is 884246201.

It is a zygodrome in base 2.

It is a congruent number.

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 17 ways as a sum of consecutive naturals, for example, 1299233 + ... + 1299311.

It is an arithmetic number, because the mean of its divisors is an integer number (3028650).

Almost surely, 2102642488 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 102642488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109031400).

102642488 is an abundant number, since it is smaller than the sum of its proper divisors (115420312).

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

102642488 is a wasteful number, since it uses less digits than its factorization.

102642488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 35.

The square root of 102642488 is about 10131.2629025211. The cubic root of 102642488 is about 468.2118382542.

Adding to 102642488 its reverse (884246201), we get a palindrome (986888689).

The spelling of 102642488 in words is "one hundred two million, six hundred forty-two thousand, four hundred eighty-eight".

Divisors: 1 2 4 8 13 26 31 52 62 79 104 124 158 169 248 316 338 403 632 676 806 961 1027 1352 1612 1922 2054 2449 3224 3844 4108 4898 5239 7688 8216 9796 10478 12493 13351 19592 20956 24986 26702 31837 41912 49972 53404 63674 75919 99944 106808 127348 151838 162409 254696 303676 324818 413881 607352 649636 827762 986947 1299272 1655524 1973894 3311048 3947788 7895576 12830311 25660622 51321244 102642488