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48758436 = 223623727
BaseRepresentation
bin1011100111111…
…1111010100100
310101202012000000
42321333322210
544440232221
64501021300
71131303606
oct271777244
9111665000
1048758436
1125582a31
12143b4830
13a14225c
146693176
154431e26
hex2e7fea4

48758436 has 84 divisors (see below), whose sum is σ = 133678272. Its totient is φ = 15524784.

The previous prime is 48758429. The next prime is 48758453. The reversal of 48758436 is 63485784.

It is a junction number, because it is equal to n+sod(n) for n = 48758391 and 48758400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 66705 + ... + 67431.

It is an arithmetic number, because the mean of its divisors is an integer number (1591408).

Almost surely, 248758436 is an apocalyptic number.

48758436 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48758436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66839136).

48758436 is an abundant number, since it is smaller than the sum of its proper divisors (84919836).

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

48758436 is a wasteful number, since it uses less digits than its factorization.

48758436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772 (or 755 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 48758436 is about 6982.7241102595. The cubic root of 48758436 is about 365.3282491552.

It can be divided in two parts, 48758 and 436, that added together give a palindrome (49194).

The spelling of 48758436 in words is "forty-eight million, seven hundred fifty-eight thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 81 92 108 138 162 207 243 276 324 414 486 621 727 729 828 972 1242 1454 1458 1863 2181 2484 2908 2916 3726 4362 5589 6543 7452 8724 11178 13086 16721 16767 19629 22356 26172 33442 33534 39258 50163 58887 66884 67068 78516 100326 117774 150489 176661 200652 235548 300978 353322 451467 529983 601956 706644 902934 1059966 1354401 1805868 2119932 2708802 4063203 5417604 8126406 12189609 16252812 24379218 48758436