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53058456 = 233311137163
BaseRepresentation
bin1100101001100…
…1101110011000
310200211122112000
43022121232120
5102040332311
65133121000
71212663243
oct312315630
9120748460
1053058456
1127a4a670
1215929160
13acb9549
14709225a
1549d1056
hex3299b98

53058456 has 128 divisors (see below), whose sum is σ = 162950400. Its totient is φ = 15863040.

The previous prime is 53058451. The next prime is 53058457. The reversal of 53058456 is 65485035.

53058456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 53058456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53058451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 325431 + ... + 325593.

It is an arithmetic number, because the mean of its divisors is an integer number (1273050).

Almost surely, 253058456 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 53058456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81475200).

53058456 is an abundant number, since it is smaller than the sum of its proper divisors (109891944).

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

53058456 is a wasteful number, since it uses less digits than its factorization.

53058456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 53058456 is about 7284.1235574364. The cubic root of 53058456 is about 375.7666237003.

The spelling of 53058456 in words is "fifty-three million, fifty-eight thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 137 163 198 216 264 274 297 326 396 411 489 548 594 652 792 822 978 1096 1188 1233 1304 1467 1507 1644 1793 1956 2376 2466 2934 3014 3288 3586 3699 3912 4401 4521 4932 5379 5868 6028 7172 7398 8802 9042 9864 10758 11736 12056 13563 14344 14796 16137 17604 18084 21516 22331 27126 29592 32274 35208 36168 40689 43032 44662 48411 54252 64548 66993 81378 89324 96822 108504 129096 133986 162756 178648 193644 200979 245641 267972 325512 387288 401958 491282 535944 602937 736923 803916 982564 1205874 1473846 1607832 1965128 2210769 2411748 2947692 4421538 4823496 5895384 6632307 8843076 13264614 17686152 26529228 53058456