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88100145 = 3257377559
BaseRepresentation
bin1010100000001…
…00110100110001
320010202221200100
411100010310301
5140023201040
612424143013
72116560510
oct520046461
9203687610
1088100145
1145803a41
1225607a69
1315338283
14b9b4677
157b03b30
hex5404d31

88100145 has 48 divisors (see below), whose sum is σ = 179262720. Its totient is φ = 39180672.

The previous prime is 88100113. The next prime is 88100167. The reversal of 88100145 is 54100188.

It is not a de Polignac number, because 88100145 - 25 = 88100113 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7876 + ... + 15434.

It is an arithmetic number, because the mean of its divisors is an integer number (3734640).

Almost surely, 288100145 is an apocalyptic number.

It is an amenable number.

88100145 is an abundant number, since it is smaller than the sum of its proper divisors (91162575).

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

88100145 is a wasteful number, since it uses less digits than its factorization.

88100145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7614 (or 7611 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 88100145 is about 9386.1677483412. The cubic root of 88100145 is about 444.9646817907.

The spelling of 88100145 in words is "eighty-eight million, one hundred thousand, one hundred forty-five".

Divisors: 1 3 5 7 9 15 21 35 37 45 63 105 111 185 259 315 333 555 777 1295 1665 2331 3885 7559 11655 22677 37795 52913 68031 113385 158739 264565 279683 340155 476217 793695 839049 1398415 1957781 2381085 2517147 4195245 5873343 9788905 12585735 17620029 29366715 88100145