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58434264 = 2333725521
BaseRepresentation
bin1101111011101…
…0001011011000
311001221202202000
43132322023120
5104424344024
65444241000
71306453200
oct336721330
9131852660
1058434264
112aa91589
12176a0160
13c14c3b5
147a91400
1551e3cc9
hex37ba2d8

58434264 has 96 divisors (see below), whose sum is σ = 188852400. Its totient is φ = 16692480.

The previous prime is 58434263. The next prime is 58434281. The reversal of 58434264 is 46243485.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58434263) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7824 + ... + 13344.

Almost surely, 258434264 is an apocalyptic number.

58434264 is a gapful number since it is divisible by the number (54) 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 58434264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94426200).

58434264 is an abundant number, since it is smaller than the sum of its proper divisors (130418136).

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

58434264 is a wasteful number, since it uses less digits than its factorization.

58434264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5550 (or 5533 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 58434264 is about 7644.2307657475. The cubic root of 58434264 is about 388.0513447480.

The spelling of 58434264 in words is "fifty-eight million, four hundred thirty-four thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 49 54 56 63 72 84 98 108 126 147 168 189 196 216 252 294 378 392 441 504 588 756 882 1176 1323 1512 1764 2646 3528 5292 5521 10584 11042 16563 22084 33126 38647 44168 49689 66252 77294 99378 115941 132504 149067 154588 198756 231882 270529 298134 309176 347823 397512 463764 541058 596268 695646 811587 927528 1043469 1082116 1192536 1391292 1623174 2086938 2164232 2434761 2782584 3246348 4173876 4869522 6492696 7304283 8347752 9739044 14608566 19478088 29217132 58434264