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48938526 = 23371323433
BaseRepresentation
bin1011101010101…
…1111000011110
310102002100001000
42322223320132
5100012013101
64504531130
71132653630
oct272537036
9112070030
1048938526
112569626a
1214480aa6
13a1a6210
1466dca50
15446a486
hex2eabe1e

48938526 has 128 divisors (see below), whose sum is σ = 139991040. Its totient is φ = 12317184.

The previous prime is 48938507. The next prime is 48938551. The reversal of 48938526 is 62583984.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 112806 + ... + 113238.

It is an arithmetic number, because the mean of its divisors is an integer number (1093680).

Almost surely, 248938526 is an apocalyptic number.

48938526 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 48938526, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69995520).

48938526 is an abundant number, since it is smaller than the sum of its proper divisors (91052514).

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

48938526 is a wasteful number, since it uses less digits than its factorization.

48938526 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487 (or 481 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 48938526 is about 6995.6076219296. The cubic root of 48938526 is about 365.7774782828. Note that the first 3 decimals are identical.

The spelling of 48938526 in words is "forty-eight million, nine hundred thirty-eight thousand, five hundred twenty-six".

Divisors: 1 2 3 6 7 9 13 14 18 21 23 26 27 39 42 46 54 63 69 78 91 117 126 138 161 182 189 207 234 273 299 322 351 378 414 433 483 546 598 621 702 819 866 897 966 1242 1299 1449 1638 1794 2093 2457 2598 2691 2898 3031 3897 4186 4347 4914 5382 5629 6062 6279 7794 8073 8694 9093 9959 11258 11691 12558 16146 16887 18186 18837 19918 23382 27279 29877 33774 37674 39403 50661 54558 56511 59754 69713 78806 81837 89631 101322 113022 118209 129467 139426 151983 163674 179262 209139 236418 258934 268893 303966 354627 388401 418278 537786 627417 709254 776802 906269 1063881 1165203 1254834 1812538 1882251 2127762 2330406 2718807 3495609 3764502 5437614 6991218 8156421 16312842 24469263 48938526