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248349153 = 31331205417
BaseRepresentation
bin11101100110110…
…00000111100001
3122022022102222210
432303120013201
51002034133103
640350552333
76103635003
oct1663300741
9568272883
10248349153
11118206438
126b2086a9
133c5b5180
1424daa373
1516c09e03
hexecd81e1

248349153 has 16 divisors (see below), whose sum is σ = 368109056. Its totient is φ = 147899520.

The previous prime is 248349151. The next prime is 248349161. The reversal of 248349153 is 351943842.

248349153 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 248349153 - 21 = 248349151 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (248349151) 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, 101500 + ... + 103917.

It is an arithmetic number, because the mean of its divisors is an integer number (23006816).

Almost surely, 2248349153 is an apocalyptic number.

It is an amenable number.

248349153 is a deficient number, since it is larger than the sum of its proper divisors (119759903).

248349153 is a wasteful number, since it uses less digits than its factorization.

248349153 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205464.

The product of its digits is 103680, while the sum is 39.

The square root of 248349153 is about 15759.0974678120. The cubic root of 248349153 is about 628.5708369706.

The spelling of 248349153 in words is "two hundred forty-eight million, three hundred forty-nine thousand, one hundred fifty-three".

Divisors: 1 3 13 31 39 93 403 1209 205417 616251 2670421 6367927 8011263 19103781 82783051 248349153