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48531054 = 231113219229
BaseRepresentation
bin1011100100100…
…0011001101110
310101022122002110
42321020121232
544410443204
64452104450
71126335645
oct271103156
9111278073
1048531054
1125438110
1214305126
13a092900
14663435c
1543d9889
hex2e4866e

48531054 has 96 divisors (see below), whose sum is σ = 121219200. Its totient is φ = 12804480.

The previous prime is 48531029. The next prime is 48531059. The reversal of 48531054 is 45013584.

48531054 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48531059) 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 47 ways as a sum of consecutive naturals, for example, 211812 + ... + 212040.

It is an arithmetic number, because the mean of its divisors is an integer number (1262700).

Almost surely, 248531054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48531054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60609600).

48531054 is an abundant number, since it is smaller than the sum of its proper divisors (72688146).

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

48531054 is a wasteful number, since it uses less digits than its factorization.

48531054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 48531054 is about 6966.4233290836. The cubic root of 48531054 is about 364.7594687243.

The spelling of 48531054 in words is "forty-eight million, five hundred thirty-one thousand, fifty-four".

Divisors: 1 2 3 6 11 13 19 22 26 33 38 39 57 66 78 114 143 169 209 229 247 286 338 418 429 458 494 507 627 687 741 858 1014 1254 1374 1482 1859 2519 2717 2977 3211 3718 4351 5038 5434 5577 5954 6422 7557 8151 8702 8931 9633 11154 13053 15114 16302 17862 19266 26106 32747 35321 38701 47861 56563 65494 70642 77402 95722 98241 105963 113126 116103 143583 169689 196482 211926 232206 287166 339378 425711 622193 735319 851422 1244386 1277133 1470638 1866579 2205957 2554266 3733158 4411914 8088509 16177018 24265527 48531054