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2450989840 = 2451341471223
BaseRepresentation
bin1001001000010111…
…0010001100010000
320022210222011222111
42102011302030100
520004423133330
61043113115104
7114511032655
oct22205621420
96283864874
102450989840
111048579a42
125849b8a94
13300a2c760
14193733c2c
15e529932a
hex92172310

2450989840 has 160 divisors (see below), whose sum is σ = 6425588736. Its totient is φ = 863416320.

The previous prime is 2450989811. The next prime is 2450989843. The reversal of 2450989840 is 489890542.

It is not an unprimeable number, because it can be changed into a prime (2450989843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2003469 + ... + 2004691.

Almost surely, 22450989840 is an apocalyptic number.

2450989840 is a gapful number since it is divisible by the number (20) 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 2450989840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3212794368).

2450989840 is an abundant number, since it is smaller than the sum of its proper divisors (3974598896).

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

2450989840 is a wasteful number, since it uses less digits than its factorization.

2450989840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1337 (or 1331 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 49.

The square root of 2450989840 is about 49507.4725672802. The cubic root of 2450989840 is about 1348.2812768797.

The spelling of 2450989840 in words is "two billion, four hundred fifty million, nine hundred eighty-nine thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 41 47 52 65 80 82 94 104 130 164 188 205 208 235 260 328 376 410 470 520 533 611 656 752 820 940 1040 1066 1222 1223 1640 1880 1927 2132 2444 2446 2665 3055 3280 3760 3854 4264 4888 4892 5330 6110 6115 7708 8528 9635 9776 9784 10660 12220 12230 15416 15899 19270 19568 21320 24440 24460 25051 30832 31798 38540 42640 48880 48920 50102 50143 57481 63596 77080 79495 97840 100204 100286 114962 125255 127192 154160 158990 200408 200572 229924 250510 250715 254384 287405 317980 400816 401144 459848 501020 501430 574810 635960 651859 747253 802288 919696 1002040 1002860 1149620 1271920 1303718 1494506 2004080 2005720 2299240 2356721 2607436 2989012 3259295 3736265 4011440 4598480 4713442 5214872 5978024 6518590 7472530 9426884 10429744 11783605 11956048 13037180 14945060 18853768 23567210 26074360 29890120 30637373 37707536 47134420 52148720 59780240 61274746 94268840 122549492 153186865 188537680 245098984 306373730 490197968 612747460 1225494920 2450989840