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40561560 = 2336513107
BaseRepresentation
bin1001101010111…
…0101110011000
32211022202000000
42122232232120
540340432220
64005213000
71001524164
oct232565630
984282000
1040561560
1120994556
1211701160
138532330
14555bca4
153863390
hex26aeb98

40561560 has 224 divisors, whose sum is σ = 148735440. Its totient is φ = 9891072.

The previous prime is 40561559. The next prime is 40561571. The reversal of 40561560 is 6516504.

It is a happy number.

40561560 is a `hidden beast` number, since 40 + 5 + 61 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 379027 + ... + 379133.

Almost surely, 240561560 is an apocalyptic number.

40561560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40561560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74367720).

40561560 is an abundant number, since it is smaller than the sum of its proper divisors (108173880).

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

40561560 is a wasteful number, since it uses less digits than its factorization.

40561560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 40561560 is about 6368.7958045458. The cubic root of 40561560 is about 343.5881812470.

The spelling of 40561560 in words is "forty million, five hundred sixty-one thousand, five hundred sixty".