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801883940 = 2251121371359
BaseRepresentation
bin101111110010111…
…100011100100100
32001212212220222012
4233302330130210
53120240241230
6211323053352
725604621024
oct5762743444
92055786865
10801883940
11381708300
121a4671258
13ca192550
14786d9a84
154a5ea395
hex2fcbc724

801883940 has 144 divisors (see below), whose sum is σ = 2027047680. Its totient is φ = 264633600.

The previous prime is 801883933. The next prime is 801884051. The reversal of 801883940 is 49388108.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2233481 + ... + 2233839.

It is an arithmetic number, because the mean of its divisors is an integer number (14076720).

Almost surely, 2801883940 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 801883940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1013523840).

801883940 is an abundant number, since it is smaller than the sum of its proper divisors (1225163740).

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

801883940 is a wasteful number, since it uses less digits than its factorization.

801883940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 41.

The square root of 801883940 is about 28317.5553323376. Note that the first 3 decimals coincide. The cubic root of 801883940 is about 929.0459016925.

The spelling of 801883940 in words is "eight hundred one million, eight hundred eighty-three thousand, nine hundred forty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 71 110 121 130 142 143 220 242 260 284 286 355 359 484 572 605 710 715 718 781 923 1210 1420 1430 1436 1562 1573 1795 1846 2420 2860 3124 3146 3590 3692 3905 3949 4615 4667 6292 7180 7810 7865 7898 8591 9230 9334 10153 15620 15730 15796 17182 18460 18668 19745 20306 23335 25489 31460 34364 39490 40612 42955 43439 46670 50765 50978 51337 78980 85910 86878 93340 101530 101956 102674 111683 127445 171820 173756 203060 205348 217195 223366 254890 256685 280379 331357 434390 446732 509780 513370 558415 560758 564707 662714 868780 1026740 1116830 1121516 1129414 1325428 1401895 1656785 2233660 2258828 2803790 2823535 3084169 3313570 3644927 5607580 5647070 6168338 6627140 7289854 11294140 12336676 14579708 15420845 18224635 30841690 36449270 40094197 61683380 72898540 80188394 160376788 200470985 400941970 801883940