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88145112 = 233112127239
BaseRepresentation
bin1010100000011…
…11110011011000
320010212020100210
411100033303120
5140031120422
612425131120
72120135556
oct520176330
9203766323
1088145112
1145834800
1225629aa0
1315352893
14b9c6bd6
157b1210c
hex540fcd8

88145112 has 96 divisors (see below), whose sum is σ = 245145600. Its totient is φ = 26389440.

The previous prime is 88145111. The next prime is 88145129. The reversal of 88145112 is 21154188.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 88145112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88145111) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 368689 + ... + 368927.

It is an arithmetic number, because the mean of its divisors is an integer number (2553600).

Almost surely, 288145112 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 88145112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122572800).

88145112 is an abundant number, since it is smaller than the sum of its proper divisors (157000488).

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

88145112 is a wasteful number, since it uses less digits than its factorization.

88145112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 382 counting only the distinct ones).

The product of its digits is 2560, while the sum is 30.

The square root of 88145112 is about 9388.5628293153. The cubic root of 88145112 is about 445.0403733937.

The spelling of 88145112 in words is "eighty-eight million, one hundred forty-five thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 121 127 132 239 242 254 264 363 381 478 484 508 717 726 762 956 968 1016 1397 1434 1452 1524 1912 2629 2794 2868 2904 3048 4191 5258 5588 5736 7887 8382 10516 11176 15367 15774 16764 21032 28919 30353 30734 31548 33528 46101 57838 60706 61468 63096 86757 91059 92202 115676 121412 122936 173514 182118 184404 231352 242824 333883 347028 364236 368808 667766 694056 728472 1001649 1335532 2003298 2671064 3672713 4006596 7345426 8013192 11018139 14690852 22036278 29381704 44072556 88145112