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985332144 = 243231814931
BaseRepresentation
bin111010101110101…
…111100110110000
32112200002001121010
4322232233212300
54004221112034
6241435030520
733263120316
oct7256574660
92480061533
10985332144
11466215695
12235b9b440
131291a2a94
1494c100b6
155b7853e9
hex3abaf9b0

985332144 has 80 divisors (see below), whose sum is σ = 2671329024. Its totient is φ = 312364800.

The previous prime is 985332133. The next prime is 985332149. The reversal of 985332144 is 441233589.

It is not an unprimeable number, because it can be changed into a prime (985332149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 197359 + ... + 202289.

Almost surely, 2985332144 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 985332144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1335664512).

985332144 is an abundant number, since it is smaller than the sum of its proper divisors (1685996880).

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

985332144 is a wasteful number, since it uses less digits than its factorization.

985332144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5146 (or 5140 counting only the distinct ones).

The product of its digits is 103680, while the sum is 39.

The square root of 985332144 is about 31390.0007008601. Note that the first 3 decimals coincide. The cubic root of 985332144 is about 995.0866128318.

The spelling of 985332144 in words is "nine hundred eighty-five million, three hundred thirty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 181 184 276 362 368 543 552 724 1086 1104 1448 2172 2896 4163 4344 4931 8326 8688 9862 12489 14793 16652 19724 24978 29586 33304 39448 49956 59172 66608 78896 99912 113413 118344 199824 226826 236688 340239 453652 680478 892511 907304 1360956 1785022 1814608 2677533 2721912 3570044 5355066 5443824 7140088 10710132 14280176 20527753 21420264 41055506 42840528 61583259 82111012 123166518 164222024 246333036 328444048 492666072 985332144