Search a number
-
+
48142296 = 23331072083
BaseRepresentation
bin1011011110100…
…1011111011000
310100120212211000
42313221133120
544311023141
64435505000
71123126356
oct267513730
9110525730
1048142296
11251a2024
1214158160
139c87987
1465727d6
15435e5b6
hex2de97d8

48142296 has 64 divisors (see below), whose sum is σ = 135043200. Its totient is φ = 15889824.

The previous prime is 48142261. The next prime is 48142301. The reversal of 48142296 is 69224184.

It is a Smith number, since the sum of its digits (36) 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 (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 48142296.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22071 + ... + 24153.

It is an arithmetic number, because the mean of its divisors is an integer number (2110050).

Almost surely, 248142296 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 48142296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67521600).

48142296 is an abundant number, since it is smaller than the sum of its proper divisors (86900904).

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

48142296 is a wasteful number, since it uses less digits than its factorization.

48142296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2205 (or 2195 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 48142296 is about 6938.4649599173. The cubic root of 48142296 is about 363.7828878756.

The spelling of 48142296 in words is "forty-eight million, one hundred forty-two thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 107 108 214 216 321 428 642 856 963 1284 1926 2083 2568 2889 3852 4166 5778 6249 7704 8332 11556 12498 16664 18747 23112 24996 37494 49992 56241 74988 112482 149976 222881 224964 445762 449928 668643 891524 1337286 1783048 2005929 2674572 4011858 5349144 6017787 8023716 12035574 16047432 24071148 48142296