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88958142 = 23371343421
BaseRepresentation
bin1010100110101…
…10010010111110
320012101112122000
411103112102332
5140233130032
612454403130
72130063120
oct523262276
9205345560
1088958142
114623a629
12259604a6
1315578970
14bb59210
157c22e7c
hex54d64be

88958142 has 128 divisors (see below), whose sum is σ = 249553920. Its totient is φ = 22861440.

The previous prime is 88958123. The next prime is 88958143. The reversal of 88958142 is 24185988.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88958143) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 211092 + ... + 211512.

It is an arithmetic number, because the mean of its divisors is an integer number (1949640).

Almost surely, 288958142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88958142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124776960).

88958142 is an abundant number, since it is smaller than the sum of its proper divisors (160595778).

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

88958142 is a wasteful number, since it uses less digits than its factorization.

88958142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 489 counting only the distinct ones).

The product of its digits is 184320, while the sum is 45.

The square root of 88958142 is about 9431.7624015875. The cubic root of 88958142 is about 446.4045040880.

The spelling of 88958142 in words is "eighty-eight million, nine hundred fifty-eight thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 43 54 63 78 86 91 117 126 129 182 189 234 258 273 301 351 378 387 421 546 559 602 702 774 819 842 903 1118 1161 1263 1638 1677 1806 2322 2457 2526 2709 2947 3354 3789 3913 4914 5031 5418 5473 5894 7578 7826 8127 8841 10062 10946 11367 11739 15093 16254 16419 17682 18103 22734 23478 26523 30186 32838 35217 36206 38311 49257 53046 54309 70434 76622 79569 98514 105651 108618 114933 126721 147771 159138 162927 211302 229866 235339 253442 295542 325854 344799 380163 470678 488781 689598 706017 760326 977562 1034397 1140489 1412034 1647373 2068794 2118051 2280978 3294746 3421467 4236102 4942119 6354153 6842934 9884238 12708306 14826357 29652714 44479071 88958142