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58082240 = 2651941233
BaseRepresentation
bin1101110110010…
…0001111000000
311001021212212002
43131210033000
5104332112430
65432523132
71303455656
oct335441700
9131255762
1058082240
112a871057
12175504a8
13c0580b8
1479dcdd6
155174845
hex37643c0

58082240 has 112 divisors (see below), whose sum is σ = 149778720. Its totient is φ = 21381120.

The previous prime is 58082239. The next prime is 58082243. The reversal of 58082240 is 4228085.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58082243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 249164 + ... + 249396.

It is an arithmetic number, because the mean of its divisors is an integer number (1337310).

Almost surely, 258082240 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 58082240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74889360).

58082240 is an abundant number, since it is smaller than the sum of its proper divisors (91696480).

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

58082240 is a wasteful number, since it uses less digits than its factorization.

58082240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 29.

The square root of 58082240 is about 7621.1705137728. The cubic root of 58082240 is about 387.2705321958.

The spelling of 58082240 in words is "fifty-eight million, eighty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 41 64 76 80 82 95 152 160 164 190 205 233 304 320 328 380 410 466 608 656 760 779 820 932 1165 1216 1312 1520 1558 1640 1864 2330 2624 3040 3116 3280 3728 3895 4427 4660 6080 6232 6560 7456 7790 8854 9320 9553 12464 13120 14912 15580 17708 18640 19106 22135 24928 31160 35416 37280 38212 44270 47765 49856 62320 70832 74560 76424 88540 95530 124640 141664 152848 177080 181507 191060 249280 283328 305696 354160 363014 382120 611392 708320 726028 764240 907535 1416640 1452056 1528480 1815070 2904112 3056960 3630140 5808224 7260280 11616448 14520560 29041120 58082240