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48422205 = 3451317541
BaseRepresentation
bin1011100010110…
…1110100111101
310101010002210000
42320231310331
544344002310
64445504513
71125403416
oct270556475
9111102700
1048422205
1125373357
1214272139
13a0551c0
14660680d
1543b74c0
hex2e2dd3d

48422205 has 80 divisors (see below), whose sum is σ = 99159984. Its totient is φ = 22394880.

The previous prime is 48422191. The next prime is 48422207. The reversal of 48422205 is 50222484.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1390041 + 47032164 = 1179^2 + 6858^2 .

It is not a de Polignac number, because 48422205 - 211 = 48420157 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48422207) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 89235 + ... + 89775.

Almost surely, 248422205 is an apocalyptic number.

48422205 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

48422205 is an abundant number, since it is smaller than the sum of its proper divisors (50737779).

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

48422205 is a wasteful number, since it uses less digits than its factorization.

48422205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 48422205 is about 6958.6065415426. The cubic root of 48422205 is about 364.4865615124.

Adding to 48422205 its reverse (50222484), we get a palindrome (98644689).

The spelling of 48422205 in words is "forty-eight million, four hundred twenty-two thousand, two hundred five".

Divisors: 1 3 5 9 13 15 17 27 39 45 51 65 81 85 117 135 153 195 221 255 351 405 459 541 585 663 765 1053 1105 1377 1623 1755 1989 2295 2705 3315 4869 5265 5967 6885 7033 8115 9197 9945 14607 17901 21099 24345 27591 29835 35165 43821 45985 63297 73035 82773 89505 105495 119561 137955 189891 219105 248319 316485 358683 413865 569673 597805 744957 949455 1076049 1241595 1793415 2848365 3228147 3724785 5380245 9684441 16140735 48422205