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248373140 = 225101122957
BaseRepresentation
bin11101100110111…
…01111110010100
3122022100122220012
432303131332110
51002040420030
640351255352
76104064641
oct1663357624
9568318805
10248373140
11118222464
126b21a558
133c5c3072
1424db4dc8
1516c12095
hexecddf94

248373140 has 24 divisors (see below), whose sum is σ = 526752072. Its totient is φ = 98364800.

The previous prime is 248373137. The next prime is 248373143. The reversal of 248373140 is 41373842.

It is an interprime number because it is at equal distance from previous prime (248373137) and next prime (248373143).

It can be written as a sum of positive squares in 4 ways, for example, as 154902916 + 93470224 = 12446^2 + 9668^2 .

It is a super-3 number, since 3×2483731403 (a number of 26 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 248373097 and 248373106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248373143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59459 + ... + 63498.

It is an arithmetic number, because the mean of its divisors is an integer number (21948003).

Almost surely, 2248373140 is an apocalyptic number.

248373140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

248373140 is an abundant number, since it is smaller than the sum of its proper divisors (278378932).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

248373140 is a wasteful number, since it uses less digits than its factorization.

248373140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123067 (or 123065 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 248373140 is about 15759.8585019029. The cubic root of 248373140 is about 628.5910733235.

The spelling of 248373140 in words is "two hundred forty-eight million, three hundred seventy-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 101 202 404 505 1010 2020 122957 245914 491828 614785 1229570 2459140 12418657 24837314 49674628 62093285 124186570 248373140