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261028456 = 23138928201
BaseRepresentation
bin11111000111011…
…11101001101000
3200012011121201121
433203233221220
51013310402311
641522425024
76316463623
oct1743575150
9605147647
10261028456
111243865a7
1273502174
1342104410
142694adba
1517db1b71
hexf8efa68

261028456 has 32 divisors (see below), whose sum is σ = 533017800. Its totient is φ = 119116800.

The previous prime is 261028399. The next prime is 261028477. The reversal of 261028456 is 654820162.

It can be written as a sum of positive squares in 4 ways, for example, as 160427556 + 100600900 = 12666^2 + 10030^2 .

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 4845 + ... + 23356.

Almost surely, 2261028456 is an apocalyptic number.

261028456 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

261028456 is an abundant number, since it is smaller than the sum of its proper divisors (271989344).

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

261028456 is a wasteful number, since it uses less digits than its factorization.

261028456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28309 (or 28305 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 261028456 is about 16156.3750884906. The cubic root of 261028456 is about 639.0908771672.

The spelling of 261028456 in words is "two hundred sixty-one million, twenty-eight thousand, four hundred fifty-six".

Divisors: 1 2 4 8 13 26 52 89 104 178 356 712 1157 2314 4628 9256 28201 56402 112804 225608 366613 733226 1466452 2509889 2932904 5019778 10039556 20079112 32628557 65257114 130514228 261028456