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248008497 = 31121374987
BaseRepresentation
bin11101100100001…
…00111100110001
3122021200010200220
432302010330301
51001442232442
640335403253
76101015562
oct1662047461
9567603626
10248008497
11117aa3500
126b083529
133c4c60b9
1424d1c169
1516b8deec
hexec84f31

248008497 has 24 divisors (see below), whose sum is σ = 366199008. Its totient is φ = 149181120.

The previous prime is 248008469. The next prime is 248008499. The reversal of 248008497 is 794800842.

248008497 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 248008497 - 212 = 248004401 is a prime.

It is not an unprimeable number, because it can be changed into a prime (248008499) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47238 + ... + 52224.

It is an arithmetic number, because the mean of its divisors is an integer number (15258292).

Almost surely, 2248008497 is an apocalyptic number.

It is an amenable number.

248008497 is a deficient number, since it is larger than the sum of its proper divisors (118190511).

248008497 is a wasteful number, since it uses less digits than its factorization.

248008497 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5149 (or 5138 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 248008497 is about 15748.2855257326. The cubic root of 248008497 is about 628.2833057489.

The spelling of 248008497 in words is "two hundred forty-eight million, eight thousand, four hundred ninety-seven".

Divisors: 1 3 11 33 121 137 363 411 1507 4521 4987 14961 16577 49731 54857 164571 603427 683219 1810281 2049657 7515409 22546227 82669499 248008497