Search a number
-
+
96487128 = 233231139311
BaseRepresentation
bin1011100000001…
…00011011011000
320201120001110100
411300010123120
5144200042003
613324015400
72251061403
oct560043330
9221501410
1096487128
114a512231
1228391560
1316cb389a
14cb58d3a
15870dba3
hex5c046d8

96487128 has 96 divisors (see below), whose sum is σ = 272563200. Its totient is φ = 30801600.

The previous prime is 96487123. The next prime is 96487129. The reversal of 96487128 is 82178469.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96487123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 310093 + ... + 310403.

It is an arithmetic number, because the mean of its divisors is an integer number (2839200).

Almost surely, 296487128 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 96487128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136281600).

96487128 is an abundant number, since it is smaller than the sum of its proper divisors (176076072).

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

96487128 is a wasteful number, since it uses less digits than its factorization.

96487128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 486 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 96487128 is about 9822.7861627952. The cubic root of 96487128 is about 458.6588662403.

The spelling of 96487128 in words is "ninety-six million, four hundred eighty-seven thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 139 186 248 278 279 311 372 417 556 558 622 744 834 933 1112 1116 1244 1251 1668 1866 2232 2488 2502 2799 3336 3732 4309 5004 5598 7464 8618 9641 10008 11196 12927 17236 19282 22392 25854 28923 34472 38564 38781 43229 51708 57846 77128 77562 86458 86769 103416 115692 129687 155124 172916 173538 231384 259374 310248 345832 347076 389061 518748 694152 778122 1037496 1340099 1556244 2680198 3112488 4020297 5360396 8040594 10720792 12060891 16081188 24121782 32162376 48243564 96487128