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58198096 = 24112231307
BaseRepresentation
bin1101111000000…
…0100001010000
311001111202210001
43132000201100
5104344314341
65435215344
71304450515
oct336004120
9131452701
1058198096
112a940100
12175a7554
13c098a58
147a2d30c
155198d31
hex3780850

58198096 has 60 divisors (see below), whose sum is σ = 129429216. Its totient is φ = 25284160.

The previous prime is 58198069. The next prime is 58198097. The reversal of 58198096 is 69089185.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58198097) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43875 + ... + 45181.

Almost surely, 258198096 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 58198096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64714608).

58198096 is an abundant number, since it is smaller than the sum of its proper divisors (71231120).

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

58198096 is a wasteful number, since it uses less digits than its factorization.

58198096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1360 (or 1343 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 46.

The square root of 58198096 is about 7628.7676593274. The cubic root of 58198096 is about 387.5278559233.

The spelling of 58198096 in words is "fifty-eight million, one hundred ninety-eight thousand, ninety-six".

Divisors: 1 2 4 8 11 16 22 23 44 46 88 92 121 176 184 242 253 368 484 506 968 1012 1307 1936 2024 2614 2783 4048 5228 5566 10456 11132 14377 20912 22264 28754 30061 44528 57508 60122 115016 120244 158147 230032 240488 316294 330671 480976 632588 661342 1265176 1322684 2530352 2645368 3637381 5290736 7274762 14549524 29099048 58198096