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248536379 = 72131759389
BaseRepresentation
bin11101101000001…
…01110100111011
3122022122221211002
432310011310323
51002111131004
640354555215
76105344600
oct1664056473
9568587732
10248536379
11118324073
126b298b0b
133c64c460
14250186a7
1516c4561e
hexed05d3b

248536379 has 48 divisors (see below), whose sum is σ = 336117600. Its totient is φ = 181472256.

The previous prime is 248536373. The next prime is 248536391. The reversal of 248536379 is 973635842.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-248536379 is a prime.

It is not an unprimeable number, because it can be changed into a prime (248536373) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 638717 + ... + 639105.

It is an arithmetic number, because the mean of its divisors is an integer number (7002450).

Almost surely, 2248536379 is an apocalyptic number.

248536379 is a deficient number, since it is larger than the sum of its proper divisors (87581221).

248536379 is a wasteful number, since it uses less digits than its factorization.

248536379 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 485 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 47.

The square root of 248536379 is about 15765.0366000209. The cubic root of 248536379 is about 628.7287534107.

The spelling of 248536379 in words is "two hundred forty-eight million, five hundred thirty-six thousand, three hundred seventy-nine".

Divisors: 1 7 13 17 49 59 91 119 221 389 413 637 767 833 1003 1547 2723 2891 5057 5369 6613 7021 10829 13039 19061 22951 35399 37583 46291 49147 85969 91273 160657 247793 298363 324037 390167 601783 638911 1124599 2088541 2731169 4212481 5072171 14619787 19118183 35505197 248536379