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985663488 = 21131371171
BaseRepresentation
bin111010110000000…
…000100000000000
32112200200220010010
4322300000200000
54004312212423
6241450104520
733266000325
oct7260004000
92480626103
10985663488
11466421627
1223611b140
1312928a844
1494c98b4c
155b7ed693
hex3ac00800

985663488 has 96 divisors (see below), whose sum is σ = 2649235680. Its totient is φ = 325877760.

The previous prime is 985663477. The next prime is 985663537. The reversal of 985663488 is 884366589.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×9856634882 = 1943065023152652288, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 841143 + ... + 842313.

It is an arithmetic number, because the mean of its divisors is an integer number (27596205).

Almost surely, 2985663488 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 985663488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1324617840).

985663488 is an abundant number, since it is smaller than the sum of its proper divisors (1663572192).

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

985663488 is a wasteful number, since it uses less digits than its factorization.

985663488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1333 (or 1313 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 57.

The square root of 985663488 is about 31395.2781163028. The cubic root of 985663488 is about 995.1981417307.

The spelling of 985663488 in words is "nine hundred eighty-five million, six hundred sixty-three thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 137 192 256 274 384 411 512 548 768 822 1024 1096 1171 1536 1644 2048 2192 2342 3072 3288 3513 4384 4684 6144 6576 7026 8768 9368 13152 14052 17536 18736 26304 28104 35072 37472 52608 56208 70144 74944 105216 112416 140288 149888 160427 210432 224832 280576 299776 320854 420864 449664 481281 599552 641708 841728 899328 962562 1199104 1283416 1798656 1925124 2398208 2566832 3597312 3850248 5133664 7194624 7700496 10267328 15400992 20534656 30801984 41069312 61603968 82138624 123207936 164277248 246415872 328554496 492831744 985663488