Search a number
-
+
106625552 = 24114373193
BaseRepresentation
bin1100101101011…
…11101000010000
321102122010202112
412112233220100
5204244004202
614325204452
72433205445
oct626575020
9242563675
10106625552
11552073a0
122b860728
1319123457
14102379cc
159562b52
hex65afa10

106625552 has 80 divisors (see below), whose sum is σ = 234979008. Its totient is φ = 46448640.

The previous prime is 106625531. The next prime is 106625569. The reversal of 106625552 is 255526601.

It is a super-2 number, since 2×1066255522 = 22738016678609408, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 552368 + ... + 552560.

Almost surely, 2106625552 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 106625552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117489504).

106625552 is an abundant number, since it is smaller than the sum of its proper divisors (128353456).

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

106625552 is a wasteful number, since it uses less digits than its factorization.

106625552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 32.

The square root of 106625552 is about 10325.9649428032. The cubic root of 106625552 is about 474.1914992336.

The spelling of 106625552 in words is "one hundred six million, six hundred twenty-five thousand, five hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 43 44 73 86 88 146 172 176 193 292 344 386 473 584 688 772 803 946 1168 1544 1606 1892 2123 3088 3139 3212 3784 4246 6278 6424 7568 8299 8492 12556 12848 14089 16598 16984 25112 28178 33196 33968 34529 50224 56356 66392 69058 91289 112712 132784 138116 154979 182578 225424 276232 309958 365156 552464 605827 619916 730312 1211654 1239832 1460624 2423308 2479664 4846616 6664097 9693232 13328194 26656388 53312776 106625552