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261112992 = 25373371153
BaseRepresentation
bin11111001000001…
…00010010100000
3200012022220200120
433210010102200
51013321103432
641524320240
76320265240
oct1744042240
9605286616
10261112992
11124434068
1273543080
1342133a3a
142696db20
1517dcbc2c
hexf9044a0

261112992 has 96 divisors (see below), whose sum is σ = 786344832. Its totient is φ = 74317824.

The previous prime is 261112987. The next prime is 261113011. The reversal of 261112992 is 299211162.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 225888 + ... + 227040.

It is an arithmetic number, because the mean of its divisors is an integer number (8191092).

Almost surely, 2261112992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 261112992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393172416).

261112992 is an abundant number, since it is smaller than the sum of its proper divisors (525231840).

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

261112992 is a wasteful number, since it uses less digits than its factorization.

261112992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1510 (or 1502 counting only the distinct ones).

The product of its digits is 3888, while the sum is 33.

The square root of 261112992 is about 16158.9910576125. The cubic root of 261112992 is about 639.1598611598.

The spelling of 261112992 in words is "two hundred sixty-one million, one hundred twelve thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 337 672 674 1011 1153 1348 2022 2306 2359 2696 3459 4044 4612 4718 5392 6918 7077 8071 8088 9224 9436 10784 13836 14154 16142 16176 18448 18872 24213 27672 28308 32284 32352 36896 37744 48426 55344 56616 64568 75488 96852 110688 113232 129136 193704 226464 258272 387408 388561 774816 777122 1165683 1554244 2331366 2719927 3108488 4662732 5439854 6216976 8159781 9325464 10879708 12433952 16319562 18650928 21759416 32639124 37301856 43518832 65278248 87037664 130556496 261112992