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261015328 = 2576471801
BaseRepresentation
bin11111000111011…
…00011100100000
3200012010221201101
433203230130200
51013304442303
641522244144
76316410430
oct1743543440
9605127641
10261015328
11124377752
12734b6654
13420cb452
14269462c0
1517dacd1d
hexf8ec720

261015328 has 48 divisors (see below), whose sum is σ = 588518784. Its totient is φ = 111628800.

The previous prime is 261015281. The next prime is 261015361. The reversal of 261015328 is 823510162.

261015328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 261015296 and 261015305.

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, 144028 + ... + 145828.

It is an arithmetic number, because the mean of its divisors is an integer number (12260808).

Almost surely, 2261015328 is an apocalyptic number.

261015328 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

261015328 is an abundant number, since it is smaller than the sum of its proper divisors (327503456).

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

261015328 is a wasteful number, since it uses less digits than its factorization.

261015328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2465 (or 2457 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 261015328 is about 16155.9688041293. The cubic root of 261015328 is about 639.0801629769.

The spelling of 261015328 in words is "two hundred sixty-one million, fifteen thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 647 1294 1801 2588 3602 4529 5176 7204 9058 10352 12607 14408 18116 20704 25214 28816 36232 50428 57632 72464 100856 144928 201712 403424 1165247 2330494 4660988 8156729 9321976 16313458 18643952 32626916 37287904 65253832 130507664 261015328