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40052546424 = 233211431398461
BaseRepresentation
bin100101010011010100…
…010101101101111000
310211101022221011122100
4211103110111231320
51124011422441144
630222213023400
72615353012242
oct452324255570
9124338834570
1040052546424
1115a93688a40
127919624b60
133a13c1ca17
141d1d569092
151096416269
hex953515b78

40052546424 has 192 divisors, whose sum is σ = 121974652800. Its totient is φ = 11768198400.

The previous prime is 40052546423. The next prime is 40052546441. The reversal of 40052546424 is 42464525004.

40052546424 is a `hidden beast` number, since 4 + 0 + 0 + 5 + 2 + 5 + 4 + 642 + 4 = 666.

40052546424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (40052546423) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4729554 + ... + 4738014.

It is an arithmetic number, because the mean of its divisors is an integer number (635284650).

Almost surely, 240052546424 is an apocalyptic number.

40052546424 is a gapful number since it is divisible by the number (44) 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 40052546424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60987326400).

40052546424 is an abundant number, since it is smaller than the sum of its proper divisors (81922106376).

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

40052546424 is a wasteful number, since it uses less digits than its factorization.

40052546424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8666 (or 8659 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

The spelling of 40052546424 in words is "forty billion, fifty-two million, five hundred forty-six thousand, four hundred twenty-four".