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58429956 = 223133753191
BaseRepresentation
bin1101111011100…
…1001000000100
311001221112211110
43132321020010
5104424224311
65444205020
71306434504
oct336711004
9131845743
1058429956
112aa89322
1217699770
13c14a450
147a8da04
1551e28a6
hex37b9204

58429956 has 96 divisors (see below), whose sum is σ = 154441728. Its totient is φ = 17072640.

The previous prime is 58429951. The next prime is 58429957. The reversal of 58429956 is 65992485.

It is not an unprimeable number, because it can be changed into a prime (58429951) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 305821 + ... + 306011.

It is an arithmetic number, because the mean of its divisors is an integer number (1608768).

Almost surely, 258429956 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 58429956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77220864).

58429956 is an abundant number, since it is smaller than the sum of its proper divisors (96011772).

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

58429956 is a wasteful number, since it uses less digits than its factorization.

58429956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 299 counting only the distinct ones).

The product of its digits is 777600, while the sum is 48.

The square root of 58429956 is about 7643.9489794216. The cubic root of 58429956 is about 388.0418082982.

The spelling of 58429956 in words is "fifty-eight million, four hundred twenty-nine thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 12 13 26 37 39 52 53 74 78 106 111 148 156 159 191 212 222 318 382 444 481 573 636 689 764 962 1146 1378 1443 1924 1961 2067 2292 2483 2756 2886 3922 4134 4966 5772 5883 7067 7449 7844 8268 9932 10123 11766 14134 14898 20246 21201 23532 25493 28268 29796 30369 40492 42402 50986 60738 76479 84804 91871 101972 121476 131599 152958 183742 263198 275613 305916 367484 374551 394797 526396 551226 749102 789594 1102452 1123653 1498204 1579188 2247306 4494612 4869163 9738326 14607489 19476652 29214978 58429956