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48193392 = 243133457
BaseRepresentation
bin1011011111010…
…1111101110000
310100200110220110
42313311331300
544314142032
64440541320
71123431342
oct267657560
9110613813
1048193392
1125227455
1214181840
139ca5000
146587292
15436e7cc
hex2df5f70

48193392 has 80 divisors (see below), whose sum is σ = 135164960. Its totient is φ = 14796288.

The previous prime is 48193381. The next prime is 48193393. The reversal of 48193392 is 29339184.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 48193392.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48193393) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 105228 + ... + 105684.

It is an arithmetic number, because the mean of its divisors is an integer number (1689562).

Almost surely, 248193392 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 48193392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67582480).

48193392 is an abundant number, since it is smaller than the sum of its proper divisors (86971568).

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

48193392 is a wasteful number, since it uses less digits than its factorization.

48193392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 475 counting only the distinct ones).

The product of its digits is 46656, while the sum is 39.

The square root of 48193392 is about 6942.1460658791. The cubic root of 48193392 is about 363.9115431314.

The spelling of 48193392 in words is "forty-eight million, one hundred ninety-three thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 169 208 312 338 457 507 624 676 914 1014 1352 1371 1828 2028 2197 2704 2742 3656 4056 4394 5484 5941 6591 7312 8112 8788 10968 11882 13182 17576 17823 21936 23764 26364 35152 35646 47528 52728 71292 77233 95056 105456 142584 154466 231699 285168 308932 463398 617864 926796 1004029 1235728 1853592 2008058 3012087 3707184 4016116 6024174 8032232 12048348 16064464 24096696 48193392