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261495104 = 2613674691
BaseRepresentation
bin11111001011000…
…01100101000000
3200020001022211212
433211201211000
51013420320404
641540425252
76323446253
oct1745414500
9606038755
10261495104
11124675162
12736a8228
1342238940
1426a2d09a
1517e5506e
hexf961940

261495104 has 56 divisors (see below), whose sum is σ = 567281568. Its totient is φ = 118863360.

The previous prime is 261495097. The next prime is 261495107. The reversal of 261495104 is 401594162.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261495107) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53399 + ... + 58089.

It is an arithmetic number, because the mean of its divisors is an integer number (10130028).

Almost surely, 2261495104 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 261495104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283640784).

261495104 is an abundant number, since it is smaller than the sum of its proper divisors (305786464).

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

261495104 is a wasteful number, since it uses less digits than its factorization.

261495104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4783 (or 4773 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 261495104 is about 16170.8102456247. The cubic root of 261495104 is about 639.4714907628.

The spelling of 261495104 in words is "two hundred sixty-one million, four hundred ninety-five thousand, one hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 64 67 104 134 208 268 416 536 832 871 1072 1742 2144 3484 4288 4691 6968 9382 13936 18764 27872 37528 55744 60983 75056 121966 150112 243932 300224 314297 487864 628594 975728 1257188 1951456 2514376 3902912 4085861 5028752 8171722 10057504 16343444 20115008 32686888 65373776 130747552 261495104