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101242848 = 2537150659
BaseRepresentation
bin1100000100011…
…01011111100000
321001111200002010
412002031133200
5201404232343
614013552520
72336356440
oct602153740
9231450063
10101242848
1152170283
1229aa5740
1317c8a415
14d636120
158d4cd33
hex608d7e0

101242848 has 48 divisors (see below), whose sum is σ = 303730560. Its totient is φ = 28926336.

The previous prime is 101242847. The next prime is 101242853. The reversal of 101242848 is 848242101.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×1012428482 = 20500228542302208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101242847) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74658 + ... + 76001.

It is an arithmetic number, because the mean of its divisors is an integer number (6327720).

Almost surely, 2101242848 is an apocalyptic number.

It is an amenable number.

101242848 is an abundant number, since it is smaller than the sum of its proper divisors (202487712).

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

101242848 is a wasteful number, since it uses less digits than its factorization.

101242848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150679 (or 150671 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 101242848 is about 10061.9505067358. The cubic root of 101242848 is about 466.0739013498.

Adding to 101242848 its reverse (848242101), we get a palindrome (949484949).

The spelling of 101242848 in words is "one hundred one million, two hundred forty-two thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 150659 301318 451977 602636 903954 1054613 1205272 1807908 2109226 2410544 3163839 3615816 4218452 4821088 6327678 7231632 8436904 12655356 14463264 16873808 25310712 33747616 50621424 101242848