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40745880 = 233257192337
BaseRepresentation
bin1001101101101…
…1101110011000
32211200002211200
42123123232120
540412332010
64013154200
71003222440
oct233335630
984602750
1040745880
1120aaaa8a
121178b960
1385981b6
1455a9120
15389ccc0
hex26dbb98

40745880 has 384 divisors, whose sum is σ = 170726400. Its totient is φ = 8211456.

The previous prime is 40745863. The next prime is 40745893. The reversal of 40745880 is 8854704.

40745880 is a `hidden beast` number, since 4 + 0 + 74 + 588 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1101222 + ... + 1101258.

It is an arithmetic number, because the mean of its divisors is an integer number (444600).

Almost surely, 240745880 is an apocalyptic number.

40745880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

40745880 is the 3192-nd decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40745880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85363200).

40745880 is an abundant number, since it is smaller than the sum of its proper divisors (129980520).

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

40745880 is a wasteful number, since it uses less digits than its factorization.

40745880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 40745880 is about 6383.2499559394. The cubic root of 40745880 is about 344.1078398154.

The spelling of 40745880 in words is "forty million, seven hundred forty-five thousand, eight hundred eighty".