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248906931 = 37131078521
BaseRepresentation
bin11101101011000…
…00010010110011
3122100100210010020
432311200102303
51002210010211
640410534523
76111450120
oct1665402263
9570323106
10248906931
11118557509
126b437443
133c74c010
14250b3747
1516cba306
hexed604b3

248906931 has 32 divisors (see below), whose sum is σ = 412328448. Its totient is φ = 130049280.

The previous prime is 248906929. The next prime is 248906953. The reversal of 248906931 is 139609842.

248906931 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 248906931 - 21 = 248906929 is a prime.

It is a super-2 number, since 2×2489069312 = 123909320599677522, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (248906131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24951 + ... + 33471.

It is an arithmetic number, because the mean of its divisors is an integer number (12885264).

Almost surely, 2248906931 is an apocalyptic number.

248906931 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

248906931 is a deficient number, since it is larger than the sum of its proper divisors (163421517).

248906931 is a wasteful number, since it uses less digits than its factorization.

248906931 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8651.

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 248906931 is about 15776.7845583313. The cubic root of 248906931 is about 629.0410631676.

The spelling of 248906931 in words is "two hundred forty-eight million, nine hundred six thousand, nine hundred thirty-one".

Divisors: 1 3 7 13 21 39 91 107 273 321 749 1391 2247 4173 8521 9737 25563 29211 59647 110773 178941 332319 775411 911747 2326233 2735241 6382229 11852711 19146687 35558133 82968977 248906931