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58069440 = 26335111347
BaseRepresentation
bin1101110110000…
…1000111000000
311001021020022000
43131201013000
5104331210230
65432344000
71303403442
oct335410700
9131236260
1058069440
112a862480
1217545000
13c052320
1479d8492
155170b60
hex37611c0

58069440 has 448 divisors, whose sum is σ = 245790720. Its totient is φ = 12718080.

The previous prime is 58069439. The next prime is 58069441. The reversal of 58069440 is 4496085.

It is an interprime number because it is at equal distance from previous prime (58069439) and next prime (58069441).

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

It is a junction number, because it is equal to n+sod(n) for n = 58069395 and 58069404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58069441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1235497 + ... + 1235543.

It is an arithmetic number, because the mean of its divisors is an integer number (548640).

Almost surely, 258069440 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 58069440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122895360).

58069440 is an abundant number, since it is smaller than the sum of its proper divisors (187721280).

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

58069440 is a wasteful number, since it uses less digits than its factorization.

58069440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 58069440 is about 7620.3307014853. The cubic root of 58069440 is about 387.2420815771.

The spelling of 58069440 in words is "fifty-eight million, sixty-nine thousand, four hundred forty".