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40688532 = 22321130237
BaseRepresentation
bin1001101100110…
…1101110010100
32211120012011200
42123031232110
540404013112
64012032500
71002563313
oct233155624
984505150
1040688532
1120a70995
1211762730
138578071
14559227a
15388acdc
hex26cdb94

40688532 has 18 divisors (see below), whose sum is σ = 102851658. Its totient is φ = 13562832.

The previous prime is 40688507. The next prime is 40688561. The reversal of 40688532 is 23588604.

40688532 is a `hidden beast` number, since 40 + 6 + 88 + 532 = 666.

It can be written as a sum of positive squares in only one way, i.e., 39992976 + 695556 = 6324^2 + 834^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 1130237 = 40688532 / (4 + 0 + 6 + 8 + 8 + 5 + 3 + 2).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 565083 + ... + 565154.

It is an arithmetic number, because the mean of its divisors is an integer number (5713981).

Almost surely, 240688532 is an apocalyptic number.

It is an amenable number.

40688532 is an abundant number, since it is smaller than the sum of its proper divisors (62163126).

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

40688532 is a wasteful number, since it uses less digits than its factorization.

40688532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1130247 (or 1130242 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 40688532 is about 6378.7563051115. The cubic root of 40688532 is about 343.9463252292.

The spelling of 40688532 in words is "forty million, six hundred eighty-eight thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 1130237 2260474 3390711 4520948 6781422 10172133 13562844 20344266 40688532