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40066488 = 2334711273
BaseRepresentation
bin1001100011010…
…1110110111000
32210101120220000
42120311312320
540224111423
63550433000
7664362630
oct230656670
983346800
1040066488
1120686600
1211502760
1383baba7
14546d6c0
1537b6843
hex2635db8

40066488 has 240 divisors, whose sum is σ = 142905840. Its totient is φ = 10264320.

The previous prime is 40066457. The next prime is 40066489. The reversal of 40066488 is 88466004.

40066488 = T112 + T113 + ... + T622.

40066488 is a `hidden beast` number, since 4 + 0 + 0 + 6 + 648 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40066489) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 548820 + ... + 548892.

It is an arithmetic number, because the mean of its divisors is an integer number (595441).

Almost surely, 240066488 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 40066488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71452920).

40066488 is an abundant number, since it is smaller than the sum of its proper divisors (102839352).

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

40066488 is a wasteful number, since it uses less digits than its factorization.

40066488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 40066488 is about 6329.8094758057. The cubic root of 40066488 is about 342.1845725777.

The spelling of 40066488 in words is "forty million, sixty-six thousand, four hundred eighty-eight".