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48166248 = 23313317487
BaseRepresentation
bin1011011110111…
…1010101101000
310100122002200010
42313233111220
544312304443
64440211520
71123256244
oct267572550
9110562603
1048166248
1125209019
1214169ba0
139c95850
14657b424
154366733
hex2def568

48166248 has 64 divisors (see below), whose sum is σ = 130354560. Its totient is φ = 14743296.

The previous prime is 48166231. The next prime is 48166249. The reversal of 48166248 is 84266184.

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

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

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

It is not an unprimeable number, because it can be changed into a prime (48166249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98661 + ... + 99147.

It is an arithmetic number, because the mean of its divisors is an integer number (2036790).

Almost surely, 248166248 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 48166248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65177280).

48166248 is an abundant number, since it is smaller than the sum of its proper divisors (82188312).

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

48166248 is a wasteful number, since it uses less digits than its factorization.

48166248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 826 (or 822 counting only the distinct ones).

The product of its digits is 73728, while the sum is 39.

The square root of 48166248 is about 6940.1907754758. The cubic root of 48166248 is about 363.8432082440.

The spelling of 48166248 in words is "forty-eight million, one hundred sixty-six thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 317 487 634 951 974 1268 1461 1902 1948 2536 2922 3804 3896 4121 5844 6331 7608 8242 11688 12363 12662 16484 18993 24726 25324 32968 37986 49452 50648 75972 98904 151944 154379 308758 463137 617516 926274 1235032 1852548 2006927 3705096 4013854 6020781 8027708 12041562 16055416 24083124 48166248