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58749138 = 235722467
BaseRepresentation
bin1110000000011…
…1000011010010
311002112202200000
43200013003102
5110014433023
65455110430
71312234200
oct340070322
9132482600
1058749138
1130187108
1217812416
13c22c806
147b34070
155257243
hex38070d2

58749138 has 72 divisors (see below), whose sum is σ = 153618192. Its totient is φ = 16778664.

The previous prime is 58749109. The next prime is 58749181. The reversal of 58749138 is 83194785.

It is a super-2 number, since 2×587491382 = 6902922431486088, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 58749093 and 58749102.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 22581 + ... + 25047.

It is an arithmetic number, because the mean of its divisors is an integer number (2133586).

Almost surely, 258749138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58749138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76809096).

58749138 is an abundant number, since it is smaller than the sum of its proper divisors (94869054).

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

58749138 is a wasteful number, since it uses less digits than its factorization.

58749138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2498 (or 2479 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 58749138 is about 7664.7986274918. The cubic root of 58749138 is about 388.7471035719.

The spelling of 58749138 in words is "fifty-eight million, seven hundred forty-nine thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 81 98 126 147 162 189 243 294 378 441 486 567 882 1134 1323 1701 2467 2646 3402 3969 4934 7401 7938 11907 14802 17269 22203 23814 34538 44406 51807 66609 103614 120883 133218 155421 199827 241766 310842 362649 399654 466263 599481 725298 932526 1087947 1198962 1398789 2175894 2797578 3263841 4196367 6527682 8392734 9791523 19583046 29374569 58749138