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261201696 = 2537388693
BaseRepresentation
bin11111001000110…
…01111100100000
3200012111102100220
433210121330200
51013331423241
641530243040
76321114660
oct1744317440
9605442326
10261201696
11124494778
1273586480
1342165222
14269941a0
1517de8166
hexf919f20

261201696 has 48 divisors (see below), whose sum is σ = 783607104. Its totient is φ = 74628864.

The previous prime is 261201679. The next prime is 261201727. The reversal of 261201696 is 696102162.

261201696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 193675 + ... + 195018.

It is an arithmetic number, because the mean of its divisors is an integer number (16325148).

Almost surely, 2261201696 is an apocalyptic number.

It is an amenable number.

261201696 is an abundant number, since it is smaller than the sum of its proper divisors (522405408).

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

261201696 is a wasteful number, since it uses less digits than its factorization.

261201696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388713 (or 388705 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 261201696 is about 16161.7355503671. The cubic root of 261201696 is about 639.2322303628.

The spelling of 261201696 in words is "two hundred sixty-one million, two hundred one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 388693 777386 1166079 1554772 2332158 2720851 3109544 4664316 5441702 6219088 8162553 9328632 10883404 12438176 16325106 18657264 21766808 32650212 37314528 43533616 65300424 87067232 130600848 261201696