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48270100 = 22522331677
BaseRepresentation
bin1011100000100…
…0101100010100
310100211101010111
42320020230110
544324120400
64442332404
71124201104
oct270105424
9110741114
1048270100
112527a04a
12141ba104
13a000bb8
1465a7204
1543873ba
hex2e08b14

48270100 has 72 divisors (see below), whose sum is σ = 112992768. Its totient is φ = 17846400.

The previous prime is 48270073. The next prime is 48270107. The reversal of 48270100 is 107284.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48270107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70962 + ... + 71638.

It is an arithmetic number, because the mean of its divisors is an integer number (1569344).

Almost surely, 248270100 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 48270100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56496384).

48270100 is an abundant number, since it is smaller than the sum of its proper divisors (64722668).

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

48270100 is a wasteful number, since it uses less digits than its factorization.

48270100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 745 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 22.

The square root of 48270100 is about 6947.6686737351. The cubic root of 48270100 is about 364.1045165393.

Adding to 48270100 its reverse (107284), we get a palindrome (48377384).

The spelling of 48270100 in words is "forty-eight million, two hundred seventy thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 31 46 50 62 92 100 115 124 155 230 310 460 575 620 677 713 775 1150 1354 1426 1550 2300 2708 2852 3100 3385 3565 6770 7130 13540 14260 15571 16925 17825 20987 31142 33850 35650 41974 62284 67700 71300 77855 83948 104935 155710 209870 311420 389275 419740 482701 524675 778550 965402 1049350 1557100 1930804 2098700 2413505 4827010 9654020 12067525 24135050 48270100