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1992643840 = 28511971459
BaseRepresentation
bin111011011000101…
…0101010100000000
312010212111210110201
41312301111110000
513040104100330
6525421134544
7100244123155
oct16661252400
95125453421
101992643840
119328828a0
124773ba454
13259a9ccc5
1414c90222c
15b9e0ceca
hex76c55500

1992643840 has 144 divisors (see below), whose sum is σ = 5264199360. Its totient is φ = 716636160.

The previous prime is 1992643837. The next prime is 1992643841. The reversal of 1992643840 is 483462991.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1992643841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1365031 + ... + 1366489.

It is an arithmetic number, because the mean of its divisors is an integer number (36556940).

Almost surely, 21992643840 is an apocalyptic number.

1992643840 is a gapful number since it is divisible by the number (10) 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 1992643840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2632099680).

1992643840 is an abundant number, since it is smaller than the sum of its proper divisors (3271555520).

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

1992643840 is a wasteful number, since it uses less digits than its factorization.

1992643840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1588 (or 1574 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 46.

The square root of 1992643840 is about 44639.0394161882. The cubic root of 1992643840 is about 1258.3744553710.

The spelling of 1992643840 in words is "one billion, nine hundred ninety-two million, six hundred forty-three thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 97 110 128 160 176 194 220 256 320 352 388 440 485 640 704 776 880 970 1067 1280 1408 1459 1552 1760 1940 2134 2816 2918 3104 3520 3880 4268 5335 5836 6208 7040 7295 7760 8536 10670 11672 12416 14080 14590 15520 16049 17072 21340 23344 24832 29180 31040 32098 34144 42680 46688 58360 62080 64196 68288 80245 85360 93376 116720 124160 128392 136576 141523 160490 170720 186752 233440 256784 273152 283046 320980 341440 373504 466880 513568 566092 641960 682880 707615 933760 1027136 1132184 1283920 1365760 1415230 1556753 1867520 2054272 2264368 2567840 2830460 3113506 4108544 4528736 5135680 5660920 6227012 7783765 9057472 10271360 11321840 12454024 15567530 18114944 20542720 22643680 24908048 31135060 36229888 45287360 49816096 62270120 90574720 99632192 124540240 181149440 199264384 249080480 398528768 498160960 996321920 1992643840