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248909842 = 21929225871
BaseRepresentation
bin11101101011000…
…01000000010010
3122100100221010001
432311201000102
51002210103332
640411000214
76111461446
oct1665410022
9570327101
10248909842
11118559715
126b43906a
133c75043c
14250b4826
1516cbb0e7
hexed61012

248909842 has 16 divisors (see below), whose sum is σ = 406569600. Its totient is φ = 113838480.

The previous prime is 248909839. The next prime is 248909873.

248909842 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2489098422 = 123912218888929928, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 248909792 and 248909801.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 111834 + ... + 114037.

It is an arithmetic number, because the mean of its divisors is an integer number (25410600).

Almost surely, 2248909842 is an apocalyptic number.

248909842 is a deficient number, since it is larger than the sum of its proper divisors (157659758).

248909842 is a wasteful number, since it uses less digits than its factorization.

248909842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225921.

The product of its (nonzero) digits is 331776, while the sum is 46.

The square root of 248909842 is about 15776.8768138691. The cubic root of 248909842 is about 629.0435153980.

The spelling of 248909842 in words is "two hundred forty-eight million, nine hundred nine thousand, eight hundred forty-two".

Divisors: 1 2 19 29 38 58 551 1102 225871 451742 4291549 6550259 8583098 13100518 124454921 248909842