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58840992 = 253572347
BaseRepresentation
bin1110000001110…
…1011110100000
311002201102200000
43200131132200
5110030402432
65501100000
71313066040
oct340353640
9132642600
1058840992
113023a121
1217857600
13c262572
147b59720
15527457c
hex381d7a0

58840992 has 288 divisors, whose sum is σ = 211341312. Its totient is φ = 15738624.

The previous prime is 58840981. The next prime is 58841009. The reversal of 58840992 is 29904885.

It is a tau number, because it is divible by the number of its divisors (288).

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, 1251913 + ... + 1251959.

It is an arithmetic number, because the mean of its divisors is an integer number (733824).

Almost surely, 258840992 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 58840992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105670656).

58840992 is an abundant number, since it is smaller than the sum of its proper divisors (152500320).

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

58840992 is a wasteful number, since it uses less digits than its factorization.

58840992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 58840992 is about 7670.7882254694. The cubic root of 58840992 is about 388.9495994953.

The spelling of 58840992 in words is "fifty-eight million, eight hundred forty thousand, nine hundred ninety-two".