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58099968 = 2832151167
BaseRepresentation
bin1101110110100…
…0100100000000
311001022210011200
43131220210000
5104333144333
65433141200
71303561443
oct335504400
9131283150
1058099968
112a883403
121755a800
13c0631a4
147a0565a
155179c13
hex3768900

58099968 has 108 divisors (see below), whose sum is σ = 169635648. Its totient is φ = 19123200.

The previous prime is 58099957. The next prime is 58100011. The reversal of 58099968 is 86999085.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 347821 + ... + 347987.

Almost surely, 258099968 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 58099968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84817824).

58099968 is an abundant number, since it is smaller than the sum of its proper divisors (111535680).

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

58099968 is a wasteful number, since it uses less digits than its factorization.

58099968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 54.

The square root of 58099968 is about 7622.3335009694. Note that the first 3 decimals coincide. The cubic root of 58099968 is about 387.3099294000.

The spelling of 58099968 in words is "fifty-eight million, ninety-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 151 167 192 256 288 302 334 384 453 501 576 604 668 768 906 1002 1152 1208 1336 1359 1503 1812 2004 2304 2416 2672 2718 3006 3624 4008 4832 5344 5436 6012 7248 8016 9664 10688 10872 12024 14496 16032 19328 21376 21744 24048 25217 28992 32064 38656 42752 43488 48096 50434 57984 64128 75651 86976 96192 100868 115968 128256 151302 173952 192384 201736 226953 302604 347904 384768 403472 453906 605208 806944 907812 1210416 1613888 1815624 2420832 3227776 3631248 4841664 6455552 7262496 9683328 14524992 19366656 29049984 58099968