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58138248 = 23373747199
BaseRepresentation
bin1101110111000…
…1111010001000
311001101201200110
43131301322020
5104340410443
65434034320
71304111160
oct335617210
9131351613
1058138248
112a8aa143
12175789a0
13c07773c
147a155a0
155186233
hex3771e88

58138248 has 128 divisors (see below), whose sum is σ = 175104000. Its totient is φ = 15738624.

The previous prime is 58138219. The next prime is 58138253. The reversal of 58138248 is 84283185.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 292053 + ... + 292251.

It is an arithmetic number, because the mean of its divisors is an integer number (1368000).

Almost surely, 258138248 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 58138248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87552000).

58138248 is an abundant number, since it is smaller than the sum of its proper divisors (116965752).

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

58138248 is a wasteful number, since it uses less digits than its factorization.

58138248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 295 counting only the distinct ones).

The product of its digits is 61440, while the sum is 39.

The square root of 58138248 is about 7624.8441295544. The cubic root of 58138248 is about 387.3949722990.

The spelling of 58138248 in words is "fifty-eight million, one hundred thirty-eight thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 37 42 47 56 74 84 94 111 141 148 168 188 199 222 259 282 296 329 376 398 444 518 564 597 658 777 796 888 987 1036 1128 1194 1316 1393 1554 1592 1739 1974 2072 2388 2632 2786 3108 3478 3948 4179 4776 5217 5572 6216 6956 7363 7896 8358 9353 10434 11144 12173 13912 14726 16716 18706 20868 22089 24346 28059 29452 33432 36519 37412 41736 44178 48692 51541 56118 58904 65471 73038 74824 88356 97384 103082 112236 130942 146076 154623 176712 196413 206164 224472 261884 292152 309246 346061 392826 412328 523768 618492 692122 785652 1038183 1236984 1384244 1571304 2076366 2422427 2768488 4152732 4844854 7267281 8305464 9689708 14534562 19379416 29069124 58138248