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985935468 = 2237217531861
BaseRepresentation
bin111010110001000…
…010111001101100
32112201012201012110
4322301002321230
54004344413333
6241500004020
733301212300
oct7261027154
92481181173
10985935468
11466597a01
12236230610
1312935458b
1494d29d00
155b854063
hex3ac42e6c

985935468 has 144 divisors (see below), whose sum is σ = 2888542944. Its totient is φ = 259983360.

The previous prime is 985935443. The next prime is 985935469. The reversal of 985935468 is 864539589.

985935468 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (985935469) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 528858 + ... + 530718.

It is an arithmetic number, because the mean of its divisors is an integer number (20059326).

Almost surely, 2985935468 is an apocalyptic number.

985935468 is a gapful number since it is divisible by the number (98) 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 985935468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1444271472).

985935468 is an abundant number, since it is smaller than the sum of its proper divisors (1902607476).

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

985935468 is a wasteful number, since it uses less digits than its factorization.

985935468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1952 (or 1943 counting only the distinct ones).

The product of its digits is 9331200, while the sum is 57.

The square root of 985935468 is about 31399.6093606274. The cubic root of 985935468 is about 995.2896702971.

The spelling of 985935468 in words is "nine hundred eighty-five million, nine hundred thirty-five thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 49 51 53 68 84 98 102 106 119 147 159 196 204 212 238 294 318 357 371 476 588 636 714 742 833 901 1113 1428 1484 1666 1802 1861 2226 2499 2597 2703 3332 3604 3722 4452 4998 5194 5406 5583 6307 7444 7791 9996 10388 10812 11166 12614 13027 15582 18921 22332 25228 26054 31164 31637 37842 39081 44149 52108 63274 75684 78162 88298 91189 94911 98633 126548 132447 156324 176596 182378 189822 197266 221459 264894 273567 295899 364756 379644 394532 442918 529788 547134 591798 664377 690431 885836 1094268 1183596 1328754 1380862 1550213 1676761 2071293 2657508 2761724 3100426 3353522 4142586 4650639 4833017 5030283 6200852 6707044 8285172 9301278 9666034 10060566 11737327 14499051 18602556 19332068 20121132 23474654 28998102 35211981 46949308 57996204 70423962 82161289 140847924 164322578 246483867 328645156 492967734 985935468