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58493440 = 29573313
BaseRepresentation
bin1101111100100…
…0101000000000
311002001202220201
43133020220000
5104433242230
65445414544
71310120545
oct337105000
9132052821
1058493440
1130021a95
121770a454
13c170305
147aa8bcc
1552065ca
hex37c8a00

58493440 has 80 divisors (see below), whose sum is σ = 142622568. Its totient is φ = 23003136.

The previous prime is 58493423. The next prime is 58493467. The reversal of 58493440 is 4439485.

It can be written as a sum of positive squares in 4 ways, for example, as 29419776 + 29073664 = 5424^2 + 5392^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 58493440.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 186724 + ... + 187036.

Almost surely, 258493440 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 58493440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71311284).

58493440 is an abundant number, since it is smaller than the sum of its proper divisors (84129128).

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

58493440 is an equidigital number, since it uses as much as digits as its factorization.

58493440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

The square root of 58493440 is about 7648.1004177508. The cubic root of 58493440 is about 388.1822929141.

The spelling of 58493440 in words is "fifty-eight million, four hundred ninety-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 73 80 128 146 160 256 292 313 320 365 512 584 626 640 730 1168 1252 1280 1460 1565 2336 2504 2560 2920 3130 4672 5008 5840 6260 9344 10016 11680 12520 18688 20032 22849 23360 25040 37376 40064 45698 46720 50080 80128 91396 93440 100160 114245 160256 182792 186880 200320 228490 365584 400640 456980 731168 801280 913960 1462336 1827920 2924672 3655840 5849344 7311680 11698688 14623360 29246720 58493440