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58274720 = 255727433
BaseRepresentation
bin1101111001001…
…1001110100000
311001122122212222
43132103032200
5104404242340
65441010212
71305220100
oct336231640
9131578788
1058274720
112a992729
1217623968
13c0c48aa
147a4d200
1551b18b5
hex37933a0

58274720 has 72 divisors (see below), whose sum is σ = 160172964. Its totient is φ = 19977216.

The previous prime is 58274701. The next prime is 58274747. The reversal of 58274720 is 2747285.

58274720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 51782416 + 6492304 = 7196^2 + 2548^2 .

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4124 + ... + 11556.

Almost surely, 258274720 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 58274720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80086482).

58274720 is an abundant number, since it is smaller than the sum of its proper divisors (101898244).

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

58274720 is a wasteful number, since it uses less digits than its factorization.

58274720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7462 (or 7447 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 35.

The square root of 58274720 is about 7633.7880505028. The cubic root of 58274720 is about 387.6978552546.

The spelling of 58274720 in words is "fifty-eight million, two hundred seventy-four thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 70 80 98 112 140 160 196 224 245 280 392 490 560 784 980 1120 1568 1960 3920 7433 7840 14866 29732 37165 52031 59464 74330 104062 118928 148660 208124 237856 260155 297320 364217 416248 520310 594640 728434 832496 1040620 1189280 1456868 1664992 1821085 2081240 2913736 3642170 4162480 5827472 7284340 8324960 11654944 14568680 29137360 58274720