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40768225 = 5212772
BaseRepresentation
bin1001101110000…
…1001011100001
32211201020111021
42123201023201
540414040400
64013445441
71003344541
oct233411341
984636437
1040768225
1121015853
12117a0881
1385a5414
1455b3321
1538a471a
hex26e12e1

40768225 has 9 divisors (see below), whose sum is σ = 50592217. Its totient is φ = 32589040.

The previous prime is 40768219. The next prime is 40768267. The reversal of 40768225 is 52286704.

The square root of 40768225 is 6385.

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

It can be written as a sum of positive squares in 4 ways, for example, as 12769 + 40755456 = 113^2 + 6384^2 .

It is not a de Polignac number, because 40768225 - 27 = 40768097 is a prime.

It is a Duffinian number.

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, 31287 + ... + 32563.

Almost surely, 240768225 is an apocalyptic number.

40768225 is the 6385-th square number.

40768225 is the 3193-rd centered octagonal number.

It is an amenable number.

40768225 is a deficient number, since it is larger than the sum of its proper divisors (9823992).

40768225 is an frugal number, since it uses more digits than its factorization.

40768225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2564 (or 1282 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 34.

The cubic root of 40768225 is about 344.1707311191.

The spelling of 40768225 in words is "forty million, seven hundred sixty-eight thousand, two hundred twenty-five".

Divisors: 1 5 25 1277 6385 31925 1630729 8153645 40768225