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125648440 = 2353141211
BaseRepresentation
bin1110111110100…
…11111000111000
322202102121020221
413133103320320
5224131222230
620245025424
73053664661
oct737237070
9282377227
10125648440
1164a1a595
12360b5274
1320053bb8
141298a368
15b06e27a
hex77d3e38

125648440 has 16 divisors (see below), whose sum is σ = 282709080. Its totient is φ = 50259360.

The previous prime is 125648431. The next prime is 125648447. The reversal of 125648440 is 44846521.

It is a super-4 number, since 4×1256484404 (a number of 33 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 125648396 and 125648405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125648447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1570566 + ... + 1570645.

Almost surely, 2125648440 is an apocalyptic number.

125648440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

125648440 is an abundant number, since it is smaller than the sum of its proper divisors (157060640).

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

125648440 is a wasteful number, since it uses less digits than its factorization.

125648440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3141222 (or 3141218 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 34.

The square root of 125648440 is about 11209.3014947409. The cubic root of 125648440 is about 500.8630959402.

The spelling of 125648440 in words is "one hundred twenty-five million, six hundred forty-eight thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 3141211 6282422 12564844 15706055 25129688 31412110 62824220 125648440