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48342500 = 225461317
BaseRepresentation
bin1011100001101…
…0010111100100
310100222001102222
42320122113210
544333430000
64444051512
71124622143
oct270322744
9110861388
1048342500
1125319488
1214233b98
13a027b3b
1465c575a
15439da85
hex2e1a5e4

48342500 has 60 divisors (see below), whose sum is σ = 107787372. Its totient is φ = 18960000.

The previous prime is 48342487. The next prime is 48342521. The reversal of 48342500 is 524384.

48342500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 10 ways, for example, as 48080356 + 262144 = 6934^2 + 512^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 48342500.

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 19 ways as a sum of consecutive naturals, for example, 152342 + ... + 152658.

Almost surely, 248342500 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 48342500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53893686).

48342500 is an abundant number, since it is smaller than the sum of its proper divisors (59444872).

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

48342500 is a wasteful number, since it uses less digits than its factorization.

48342500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 48342500 is about 6952.8771023225. The cubic root of 48342500 is about 364.2864649112.

Adding to 48342500 its reverse (524384), we get a palindrome (48866884).

The spelling of 48342500 in words is "forty-eight million, three hundred forty-two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 61 100 122 125 244 250 305 317 500 610 625 634 1220 1250 1268 1525 1585 2500 3050 3170 6100 6340 7625 7925 15250 15850 19337 30500 31700 38125 38674 39625 76250 77348 79250 96685 152500 158500 193370 198125 386740 396250 483425 792500 966850 1933700 2417125 4834250 9668500 12085625 24171250 48342500