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48538035 = 355713439
BaseRepresentation
bin1011100100101…
…0000110110011
310101022222200000
42321022012303
544411204120
64452201043
71126365210
oct271120663
9111288600
1048538035
1125442387
1214309183
13a095b40
146636b07
1543db990
hex2e4a1b3

48538035 has 96 divisors (see below), whose sum is σ = 107627520. Its totient is φ = 20435328.

The previous prime is 48538031. The next prime is 48538037. The reversal of 48538035 is 53083584.

48538035 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 48538035 - 22 = 48538031 is a prime.

It is a super-2 number, since 2×485380352 = 4711881683322450, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (48538031) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 110346 + ... + 110784.

It is an arithmetic number, because the mean of its divisors is an integer number (1121120).

Almost surely, 248538035 is an apocalyptic number.

48538035 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

48538035 is an abundant number, since it is smaller than the sum of its proper divisors (59089485).

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

48538035 is a wasteful number, since it uses less digits than its factorization.

48538035 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 48538035 is about 6966.9243572756. The cubic root of 48538035 is about 364.7769576209.

The spelling of 48538035 in words is "forty-eight million, five hundred thirty-eight thousand, thirty-five".

Divisors: 1 3 5 7 9 13 15 21 27 35 39 45 63 65 81 91 105 117 135 189 195 243 273 315 351 405 439 455 567 585 819 945 1053 1215 1317 1365 1701 1755 2195 2457 2835 3073 3159 3951 4095 5265 5707 6585 7371 8505 9219 11853 12285 15365 15795 17121 19755 22113 27657 28535 35559 36855 39949 46095 51363 59265 82971 85605 106677 110565 119847 138285 154089 177795 199745 248913 256815 359541 414855 462267 533385 599235 746739 770445 1078623 1244565 1386801 1797705 2311335 3235869 3733695 5393115 6934005 9707607 16179345 48538035