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58741248 = 293167229
BaseRepresentation
bin1110000000010…
…1001000000000
311002112100211210
43200011020000
5110014204443
65455010120
71312202166
oct340051000
9132470753
1058741248
1130181195
1217809940
13c229047
147b31236
155254c33
hex3805200

58741248 has 80 divisors (see below), whose sum is σ = 158114880. Its totient is φ = 19378176.

The previous prime is 58741229. The next prime is 58741253. The reversal of 58741248 is 84214785.

It is a happy number.

It is a congruent number.

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, 256398 + ... + 256626.

It is an arithmetic number, because the mean of its divisors is an integer number (1976436).

Almost surely, 258741248 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 58741248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79057440).

58741248 is an abundant number, since it is smaller than the sum of its proper divisors (99373632).

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

58741248 is a wasteful number, since it uses less digits than its factorization.

58741248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 401 counting only the distinct ones).

The product of its digits is 71680, while the sum is 39.

The square root of 58741248 is about 7664.2839195844. The cubic root of 58741248 is about 388.7296999012.

The spelling of 58741248 in words is "fifty-eight million, seven hundred forty-one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 167 192 229 256 334 384 458 501 512 668 687 768 916 1002 1336 1374 1536 1832 2004 2672 2748 3664 4008 5344 5496 7328 8016 10688 10992 14656 16032 21376 21984 29312 32064 38243 42752 43968 58624 64128 76486 85504 87936 114729 117248 128256 152972 175872 229458 256512 305944 351744 458916 611888 917832 1223776 1835664 2447552 3671328 4895104 7342656 9790208 14685312 19580416 29370624 58741248