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248626848 = 2538633001
BaseRepresentation
bin11101101000110…
…11111010100000
3122022211112220210
432310123322200
51002122024343
640400534120
76106202421
oct1664337240
9568745823
10248626848
11118386038
126b321340
133c6816a2
142503d648
1516c62333
hexed1bea0

248626848 has 48 divisors (see below), whose sum is σ = 653619456. Its totient is φ = 82752000.

The previous prime is 248626843. The next prime is 248626867. The reversal of 248626848 is 848626842.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

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

It is a junction number, because it is equal to n+sod(n) for n = 248626797 and 248626806.

It is not an unprimeable number, because it can be changed into a prime (248626843) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 81348 + ... + 84348.

It is an arithmetic number, because the mean of its divisors is an integer number (13617072).

Almost surely, 2248626848 is an apocalyptic number.

It is an amenable number.

248626848 is an abundant number, since it is smaller than the sum of its proper divisors (404992608).

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

248626848 is a wasteful number, since it uses less digits than its factorization.

248626848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3877 (or 3869 counting only the distinct ones).

The product of its digits is 1179648, while the sum is 48.

The square root of 248626848 is about 15767.9056313767. The cubic root of 248626848 is about 628.8050313941.

The spelling of 248626848 in words is "two hundred forty-eight million, six hundred twenty-six thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 863 1726 2589 3001 3452 5178 6002 6904 9003 10356 12004 13808 18006 20712 24008 27616 36012 41424 48016 72024 82848 96032 144048 288096 2589863 5179726 7769589 10359452 15539178 20718904 31078356 41437808 62156712 82875616 124313424 248626848