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980096992 = 25729312157
BaseRepresentation
bin111010011010110…
…001011111100000
32112022020002022121
4322122301133200
54001401100432
6241130514024
733200454430
oct7232613740
92468202277
10980096992
1146326a416
12234295914
1312808bc64
149424a2c0
155b09e197
hex3a6b17e0

980096992 has 144 divisors (see below), whose sum is σ = 2372237280. Its totient is φ = 389975040.

The previous prime is 980096983. The next prime is 980097011. The reversal of 980096992 is 299690089.

It is a super-2 number, since 2×9800969922 = 1921180227454896128, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6242578 + ... + 6242734.

It is an arithmetic number, because the mean of its divisors is an integer number (16473870).

Almost surely, 2980096992 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 980096992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1186118640).

980096992 is an abundant number, since it is smaller than the sum of its proper divisors (1392140288).

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

980096992 is a wasteful number, since it uses less digits than its factorization.

980096992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 629856, while the sum is 52.

The square root of 980096992 is about 31306.5007945634. The cubic root of 980096992 is about 993.3211563552.

The spelling of 980096992 in words is "nine hundred eighty million, ninety-six thousand, nine hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 29 31 32 56 58 62 112 116 124 157 203 217 224 232 248 314 406 434 464 496 628 812 868 899 928 961 992 1099 1256 1624 1736 1798 1922 2198 2512 3248 3472 3596 3844 4396 4553 4867 5024 6293 6496 6727 6944 7192 7688 8792 9106 9734 12586 13454 14384 15376 17584 18212 19468 25172 26908 27869 28768 30752 31871 34069 35168 36424 38936 50344 53816 55738 63742 68138 72848 77872 100688 107632 111476 127484 136276 141143 145696 150877 155744 195083 201376 215264 222952 254968 272552 282286 301754 390166 445904 509936 545104 564572 603508 780332 891808 988001 1019872 1056139 1090208 1129144 1207016 1560664 1976002 2112278 2258288 2414032 3121328 3952004 4224556 4375433 4516576 4828064 6242656 7904008 8449112 8750866 15808016 16898224 17501732 30628031 31616032 33796448 35003464 61256062 70006928 122512124 140013856 245024248 490048496 980096992