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48137336 = 231317191433
BaseRepresentation
bin1011011110100…
…0010001111000
310100120122000022
42313220101320
544310343321
64435430012
71123106042
oct267502170
9110518008
1048137336
1125199325
1214155308
139c85640
146570a92
15435cdab
hex2de8478

48137336 has 64 divisors (see below), whose sum is σ = 108410400. Its totient is φ = 19795968.

The previous prime is 48137311. The next prime is 48137347. The reversal of 48137336 is 63373184.

It is a happy number.

48137336 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 48137296 and 48137305.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 32876 + ... + 34308.

Almost surely, 248137336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48137336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54205200).

48137336 is an abundant number, since it is smaller than the sum of its proper divisors (60273064).

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

48137336 is a wasteful number, since it uses less digits than its factorization.

48137336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1488 (or 1484 counting only the distinct ones).

The product of its digits is 36288, while the sum is 35.

The square root of 48137336 is about 6938.1075229489. The cubic root of 48137336 is about 363.7703941833.

The spelling of 48137336 in words is "forty-eight million, one hundred thirty-seven thousand, three hundred thirty-six".

Divisors: 1 2 4 8 13 17 19 26 34 38 52 68 76 104 136 152 221 247 323 442 494 646 884 988 1292 1433 1768 1976 2584 2866 4199 5732 8398 11464 16796 18629 24361 27227 33592 37258 48722 54454 74516 97444 108908 149032 194888 217816 316693 353951 462859 633386 707902 925718 1266772 1415804 1851436 2533544 2831608 3702872 6017167 12034334 24068668 48137336