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40842648 = 233271153139
BaseRepresentation
bin1001101111001…
…1010110011000
32211212000120200
42123303112120
540423431043
64015222200
71004104530
oct233632630
984760520
1040842648
1121066760
1211817960
138600262
1455d24c0
1538bb7d3
hex26f3598

40842648 has 192 divisors, whose sum is σ = 141523200. Its totient is φ = 10333440.

The previous prime is 40842629. The next prime is 40842661. The reversal of 40842648 is 84624804.

40842648 is a `hidden beast` number, since 4 + 0 + 8 + 4 + 2 + 648 = 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 47 ways as a sum of consecutive naturals, for example, 293763 + ... + 293901.

It is an arithmetic number, because the mean of its divisors is an integer number (737100).

Almost surely, 240842648 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 40842648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70761600).

40842648 is an abundant number, since it is smaller than the sum of its proper divisors (100680552).

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

40842648 is a wasteful number, since it uses less digits than its factorization.

40842648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 40842648 is about 6390.8252988170. The cubic root of 40842648 is about 344.3800334024.

The spelling of 40842648 in words is "forty million, eight hundred forty-two thousand, six hundred forty-eight".