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48270456 = 23321323967
BaseRepresentation
bin1011100000100…
…0110001111000
310100211101121200
42320020301320
544324123311
64442334200
71124202123
oct270106170
9110741550
1048270456
112527a343
12141ba360
13a001100
1465a73ba
154387556
hex2e08c78

48270456 has 72 divisors (see below), whose sum is σ = 141598080. Its totient is φ = 14848704.

The previous prime is 48270451. The next prime is 48270493. The reversal of 48270456 is 65407284.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 48270456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48270451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 10185 + ... + 14151.

It is an arithmetic number, because the mean of its divisors is an integer number (1966640).

Almost surely, 248270456 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 48270456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70799040).

48270456 is an abundant number, since it is smaller than the sum of its proper divisors (93327624).

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

48270456 is a wasteful number, since it uses less digits than its factorization.

48270456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4005 (or 3985 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 48270456 is about 6947.6942937927. The cubic root of 48270456 is about 364.1054116475.

The spelling of 48270456 in words is "forty-eight million, two hundred seventy thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 169 234 312 338 468 507 676 936 1014 1352 1521 2028 3042 3967 4056 6084 7934 11901 12168 15868 23802 31736 35703 47604 51571 71406 95208 103142 142812 154713 206284 285624 309426 412568 464139 618852 670423 928278 1237704 1340846 1856556 2011269 2681692 3713112 4022538 5363384 6033807 8045076 12067614 16090152 24135228 48270456