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125046441 = 32131762869
BaseRepresentation
bin1110111010000…
…00111010101001
322201022000110200
413131000322221
5224002441231
620224102413
73045606612
oct735007251
9281260420
10125046441
1164649273
1235a64a09
131cba2ba0
1412870c09
15aea0be6
hex7740ea9

125046441 has 24 divisors (see below), whose sum is σ = 205962120. Its totient is φ = 72423936.

The previous prime is 125046431. The next prime is 125046457. The reversal of 125046441 is 144640521.

125046441 is a `hidden beast` number, since 12 + 5 + 0 + 4 + 644 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3164841 + 121881600 = 1779^2 + 11040^2 .

It is not a de Polignac number, because 125046441 - 25 = 125046409 is a prime.

It is a super-2 number, since 2×1250464412 = 31273224813532962, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (125046431) 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, 29446 + ... + 33423.

It is an arithmetic number, because the mean of its divisors is an integer number (8581755).

Almost surely, 2125046441 is an apocalyptic number.

It is an amenable number.

125046441 is a deficient number, since it is larger than the sum of its proper divisors (80915679).

125046441 is a wasteful number, since it uses less digits than its factorization.

125046441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62905 (or 62902 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 125046441 is about 11182.4165992866. The cubic root of 125046441 is about 500.0619136664.

Adding to 125046441 its reverse (144640521), we get a palindrome (269686962).

The spelling of 125046441 in words is "one hundred twenty-five million, forty-six thousand, four hundred forty-one".

Divisors: 1 3 9 13 17 39 51 117 153 221 663 1989 62869 188607 565821 817297 1068773 2451891 3206319 7355673 9618957 13894049 41682147 125046441