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58045400 = 2352725923
BaseRepresentation
bin1101110101101…
…1001111011000
311001020000022122
43131123033120
5104324423100
65432040412
71303243400
oct335331730
9131200278
1058045400
112a846406
1217533108
13c0443ba
1479cd800
155168985
hex375b3d8

58045400 has 72 divisors (see below), whose sum is σ = 157015620. Its totient is φ = 19897920.

The previous prime is 58045369. The next prime is 58045417. The reversal of 58045400 is 454085.

It is a super-2 number, since 2×580454002 = 6738536922320000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 58045400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6839 + ... + 12761.

Almost surely, 258045400 is an apocalyptic number.

58045400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58045400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78507810).

58045400 is an abundant number, since it is smaller than the sum of its proper divisors (98970220).

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

58045400 is a wasteful number, since it uses less digits than its factorization.

58045400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5953 (or 5937 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 26.

The square root of 58045400 is about 7618.7531788344. The cubic root of 58045400 is about 387.1886364570.

Adding to 58045400 its reverse (454085), we get a palindrome (58499485).

The spelling of 58045400 in words is "fifty-eight million, forty-five thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 140 175 196 200 245 280 350 392 490 700 980 1225 1400 1960 2450 4900 5923 9800 11846 23692 29615 41461 47384 59230 82922 118460 148075 165844 207305 236920 290227 296150 331688 414610 580454 592300 829220 1036525 1160908 1184600 1451135 1658440 2073050 2321816 2902270 4146100 5804540 7255675 8292200 11609080 14511350 29022700 58045400