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58428216 = 23347111171
BaseRepresentation
bin1101111011100…
…0101100111000
311001221110110000
43132320230320
5104424200331
65444153000
71306426440
oct336705470
9131843400
1058428216
112aa87a90
1217698760
13c149712
147a8d120
1551e20e6
hex37b8b38

58428216 has 160 divisors (see below), whose sum is σ = 204209280. Its totient is φ = 15163200.

The previous prime is 58428199. The next prime is 58428229. The reversal of 58428216 is 61282485.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 49311 + ... + 50481.

It is an arithmetic number, because the mean of its divisors is an integer number (1276308).

Almost surely, 258428216 is an apocalyptic number.

58428216 is a gapful number since it is divisible by the number (56) 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 58428216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102104640).

58428216 is an abundant number, since it is smaller than the sum of its proper divisors (145781064).

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

58428216 is a wasteful number, since it uses less digits than its factorization.

58428216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1207 (or 1194 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 58428216 is about 7643.8351630579. The cubic root of 58428216 is about 388.0379563959.

The spelling of 58428216 in words is "fifty-eight million, four hundred twenty-eight thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 27 28 33 36 42 44 54 56 63 66 72 77 81 84 88 99 108 126 132 154 162 168 189 198 216 231 252 264 297 308 324 378 396 462 504 567 594 616 648 693 756 792 891 924 1134 1171 1188 1386 1512 1782 1848 2079 2268 2342 2376 2772 3513 3564 4158 4536 4684 5544 6237 7026 7128 8197 8316 9368 10539 12474 12881 14052 16394 16632 21078 24591 24948 25762 28104 31617 32788 38643 42156 49182 49896 51524 63234 65576 73773 77286 84312 90167 94851 98364 103048 115929 126468 147546 154572 180334 189702 196728 221319 231858 252936 270501 295092 309144 347787 360668 379404 442638 463716 541002 590184 663957 695574 721336 758808 811503 885276 927432 1043361 1082004 1327914 1391148 1623006 1770552 2086722 2164008 2434509 2655828 2782296 3246012 4173444 4869018 5311656 6492024 7303527 8346888 9738036 14607054 19476072 29214108 58428216