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980442624 = 2937671361
BaseRepresentation
bin111010011100000…
…101111000000000
32112022212122102210
4322130011320000
54001443130444
6241142142120
733203424210
oct7234057000
92468778383
10980442624
11463486067
12234421940
13128180385
14942da240
155b11b7b9
hex3a705e00

980442624 has 160 divisors (see below), whose sum is σ = 3031877376. Its totient is φ = 275742720.

The previous prime is 980442623. The next prime is 980442629. The reversal of 980442624 is 426244089.

It is a super-2 number, since 2×9804426242 = 1922535477912010752, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (980442623) 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, 719704 + ... + 721064.

Almost surely, 2980442624 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 980442624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1515938688).

980442624 is an abundant number, since it is smaller than the sum of its proper divisors (2051434752).

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

980442624 is a wasteful number, since it uses less digits than its factorization.

980442624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1456 (or 1440 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The square root of 980442624 is about 31312.0204394415. The cubic root of 980442624 is about 993.4379078029.

The spelling of 980442624 in words is "nine hundred eighty million, four hundred forty-two thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 67 84 96 112 128 134 168 192 201 224 256 268 336 384 402 448 469 512 536 672 768 804 896 938 1072 1344 1361 1407 1536 1608 1792 1876 2144 2688 2722 2814 3216 3584 3752 4083 4288 5376 5444 5628 6432 7504 8166 8576 9527 10752 10888 11256 12864 15008 16332 17152 19054 21776 22512 25728 28581 30016 32664 34304 38108 43552 45024 51456 57162 60032 65328 76216 87104 90048 91187 102912 114324 120064 130656 152432 174208 180096 182374 228648 240128 261312 273561 304864 348416 360192 364748 457296 522624 547122 609728 638309 696832 720384 729496 914592 1045248 1094244 1219456 1276618 1458992 1829184 1914927 2090496 2188488 2438912 2553236 2917984 3658368 3829854 4376976 4877824 5106472 5835968 7316736 7659708 8753952 10212944 11671936 14633472 15319416 17507904 20425888 23343872 30638832 35015808 40851776 46687744 61277664 70031616 81703552 122555328 140063232 163407104 245110656 326814208 490221312 980442624