Search a number
-
+
48893460 = 223571119557
BaseRepresentation
bin1011101010000…
…0111000010100
310102000001012220
42322200320110
5100004042320
64503542340
71132405350
oct272407024
9112001186
1048893460
1125665420
121445a9b0
13a18b855
1466ca460
15445be40
hex2ea0e14

48893460 has 192 divisors, whose sum is σ = 179988480. Its totient is φ = 9607680.

The previous prime is 48893447. The next prime is 48893461. The reversal of 48893460 is 6439884.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 557 × 165 × 532.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48893461) 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 63 ways as a sum of consecutive naturals, for example, 87502 + ... + 88058.

It is an arithmetic number, because the mean of its divisors is an integer number (937440).

Almost surely, 248893460 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 48893460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89994240).

48893460 is an abundant number, since it is smaller than the sum of its proper divisors (131095020).

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

48893460 is a wasteful number, since it uses less digits than its factorization.

48893460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 48893460 is about 6992.3858589183. The cubic root of 48893460 is about 365.6651660162.

The spelling of 48893460 in words is "forty-eight million, eight hundred ninety-three thousand, four hundred sixty".