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248920311 = 31929150587
BaseRepresentation
bin11101101011000…
…11100011110111
3122100101110110210
432311203203313
51002210422221
640411120503
76111534123
oct1665434367
9570343423
10248920311
11118566572
126b443133
133c755133
14250b8583
1516cbe276
hexed638f7

248920311 has 16 divisors (see below), whose sum is σ = 361411200. Its totient is φ = 151790688.

The previous prime is 248920303. The next prime is 248920313. The reversal of 248920311 is 113029842.

It is not a de Polignac number, because 248920311 - 23 = 248920303 is a prime.

It is a super-2 number, since 2×2489203112 = 123922642456673442, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248920313) 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, 73641 + ... + 76946.

It is an arithmetic number, because the mean of its divisors is an integer number (22588200).

Almost surely, 2248920311 is an apocalyptic number.

248920311 is a deficient number, since it is larger than the sum of its proper divisors (112490889).

248920311 is a wasteful number, since it uses less digits than its factorization.

248920311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150638.

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 248920311 is about 15777.2085934109. The cubic root of 248920311 is about 629.0523343398.

The spelling of 248920311 in words is "two hundred forty-eight million, nine hundred twenty thousand, three hundred eleven".

Divisors: 1 3 19 29 57 87 551 1653 150587 451761 2861153 4367023 8583459 13101069 82973437 248920311