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58033122 = 2374167503
BaseRepresentation
bin1101110101100…
…0001111100010
311001012101110220
43131120033202
5104324024442
65431503510
71303162530
oct335301742
9131171426
1058033122
112a838164
1217527b96
13c03b934
1479c9150
155164eec
hex37583e2

58033122 has 64 divisors (see below), whose sum is σ = 138184704. Its totient is φ = 15903360.

The previous prime is 58033103. The next prime is 58033123. The reversal of 58033122 is 22133085.

It is a junction number, because it is equal to n+sod(n) for n = 58033092 and 58033101.

It is not an unprimeable number, because it can be changed into a prime (58033123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 115123 + ... + 115625.

It is an arithmetic number, because the mean of its divisors is an integer number (2159136).

Almost surely, 258033122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58033122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69092352).

58033122 is an abundant number, since it is smaller than the sum of its proper divisors (80151582).

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

58033122 is a wasteful number, since it uses less digits than its factorization.

58033122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623.

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 58033122 is about 7617.9473613303. The cubic root of 58033122 is about 387.1613346249.

The spelling of 58033122 in words is "fifty-eight million, thirty-three thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 41 42 67 82 123 134 201 246 287 402 469 503 574 861 938 1006 1407 1509 1722 2747 2814 3018 3521 5494 7042 8241 10563 16482 19229 20623 21126 33701 38458 41246 57687 61869 67402 101103 115374 123738 144361 202206 235907 288722 433083 471814 707721 866166 1381741 1415442 2763482 4145223 8290446 9672187 19344374 29016561 58033122