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106559552 = 2611236581
BaseRepresentation
bin1100101100111…
…11100001000000
321102111210020002
412112133201000
5204234401202
614323535132
72432512151
oct626374100
9242453202
10106559552
1155171850
122b82a4a8
13190cc3b8
141021b928
15954d302
hex659f840

106559552 has 56 divisors (see below), whose sum is σ = 240743232. Its totient is φ = 46323200.

The previous prime is 106559549. The next prime is 106559567. The reversal of 106559552 is 255955601.

It is a super-2 number, since 2×1065595522 = 22709876244881408, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12902 + ... + 19482.

Almost surely, 2106559552 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 106559552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120371616).

106559552 is an abundant number, since it is smaller than the sum of its proper divisors (134183680).

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

106559552 is a wasteful number, since it uses less digits than its factorization.

106559552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6627 (or 6617 counting only the distinct ones).

The product of its (nonzero) digits is 67500, while the sum is 38.

The square root of 106559552 is about 10322.7686208691. The cubic root of 106559552 is about 474.0936393304.

The spelling of 106559552 in words is "one hundred six million, five hundred fifty-nine thousand, five hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 64 88 92 176 184 253 352 368 506 704 736 1012 1472 2024 4048 6581 8096 13162 16192 26324 52648 72391 105296 144782 151363 210592 289564 302726 421184 579128 605452 1158256 1210904 1664993 2316512 2421808 3329986 4633024 4843616 6659972 9687232 13319944 26639888 53279776 106559552