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48380202 = 23213475383
BaseRepresentation
bin1011100010001…
…1100100101010
310101000222011100
42320203210222
544341131302
64444542230
71125140103
oct270434452
9111028140
1048380202
1125344842
1214251976
13a03c050
1465d53aa
1543a9d1c
hex2e2392a

48380202 has 96 divisors (see below), whose sum is σ = 118879488. Its totient is φ = 14122368.

The previous prime is 48380197. The next prime is 48380209. The reversal of 48380202 is 20208384.

It is not an unprimeable number, because it can be changed into a prime (48380209) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 582853 + ... + 582935.

It is an arithmetic number, because the mean of its divisors is an integer number (1238328).

Almost surely, 248380202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48380202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59439744).

48380202 is an abundant number, since it is smaller than the sum of its proper divisors (70499286).

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

48380202 is a wasteful number, since it uses less digits than its factorization.

48380202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 48380202 is about 6955.5878256262. The cubic root of 48380202 is about 364.3811418477.

Adding to 48380202 its reverse (20208384), we get a palindrome (68588586).

The spelling of 48380202 in words is "forty-eight million, three hundred eighty thousand, two hundred two".

Divisors: 1 2 3 6 9 13 18 26 39 47 53 78 83 94 106 117 141 159 166 234 249 282 318 423 477 498 611 689 747 846 954 1079 1222 1378 1494 1833 2067 2158 2491 3237 3666 3901 4134 4399 4982 5499 6201 6474 7473 7802 8798 9711 10998 11703 12402 13197 14946 19422 22419 23406 26394 32383 35109 39591 44838 50713 57187 64766 70218 79182 97149 101426 114374 152139 171561 194298 206753 291447 304278 343122 413506 456417 514683 582894 620259 912834 1029366 1240518 1860777 2687789 3721554 5375578 8063367 16126734 24190101 48380202