Search a number
-
+
58240896 = 273747461
BaseRepresentation
bin1101111000101…
…0111110000000
311001120221111020
43132022332000
5104402202041
65440145440
71305016350
oct336127600
9131527436
1058240896
112a96a27a
1217608280
13c0b238c
147a40b60
1551a6866
hex378af80

58240896 has 128 divisors (see below), whose sum is σ = 180956160. Its totient is φ = 16250880.

The previous prime is 58240879. The next prime is 58240901. The reversal of 58240896 is 69804285.

58240896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 126106 + ... + 126566.

It is an arithmetic number, because the mean of its divisors is an integer number (1413720).

Almost surely, 258240896 is an apocalyptic number.

58240896 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 58240896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90478080).

58240896 is an abundant number, since it is smaller than the sum of its proper divisors (122715264).

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

58240896 is a wasteful number, since it uses less digits than its factorization.

58240896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 58240896 is about 7631.5723150606. The cubic root of 58240896 is about 387.6228311263.

The spelling of 58240896 in words is "fifty-eight million, two hundred forty thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 47 48 56 64 84 94 96 112 128 141 168 188 192 224 282 329 336 376 384 448 461 564 658 672 752 896 922 987 1128 1316 1344 1383 1504 1844 1974 2256 2632 2688 2766 3008 3227 3688 3948 4512 5264 5532 6016 6454 7376 7896 9024 9681 10528 11064 12908 14752 15792 18048 19362 21056 21667 22128 25816 29504 31584 38724 42112 43334 44256 51632 59008 63168 65001 77448 86668 88512 103264 126336 130002 151669 154896 173336 177024 206528 260004 303338 309792 346672 413056 455007 520008 606676 619584 693344 910014 1040016 1213352 1239168 1386688 1820028 2080032 2426704 2773376 3640056 4160064 4853408 7280112 8320128 9706816 14560224 19413632 29120448 58240896