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1040385025 = 5264512
BaseRepresentation
bin111110000000110…
…000010000000001
32200111200000221201
4332000300100001
54112314310100
6251123021201
734532061331
oct7600602001
92614600851
101040385025
114942a7739
1225050a801
1313770a054
149c2610c1
156150c36a
hex3e030401

1040385025 has 9 divisors (see below), whose sum is σ = 1290277443. Its totient is φ = 832179000.

The previous prime is 1040385001. The next prime is 1040385077. The reversal of 1040385025 is 5205830401.

The square root of 1040385025 is 32255.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 374538609 + 665846416 = 19353^2 + 25804^2 .

It is not a de Polignac number, because 1040385025 - 25 = 1040384993 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1040384984 and 1040385002.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 158050 + ... + 164500.

Almost surely, 21040385025 is an apocalyptic number.

1040385025 is the 32255-th square number.

1040385025 is the 16128-th centered octagonal number.

It is an amenable number.

1040385025 is a deficient number, since it is larger than the sum of its proper divisors (249892418).

1040385025 is an frugal number, since it uses more digits than its factorization.

1040385025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12912 (or 6456 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The cubic root of 1040385025 is about 1013.2844177849.

The spelling of 1040385025 in words is "one billion, forty million, three hundred eighty-five thousand, twenty-five".

Divisors: 1 5 25 6451 32255 161275 41615401 208077005 1040385025