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2055209408 = 26753101857
BaseRepresentation
bin111101010000000…
…0000000111000000
312022020020110021222
41322200000013000
513202113200113
6535534134212
7101633664110
oct17240000700
95266213258
102055209408
1196512627a
12494351368
13269a37955
14156d4b040
15c066ae08
hex7a8001c0

2055209408 has 112 divisors (see below), whose sum is σ = 4801477824. Its totient is φ = 854630400.

The previous prime is 2055209399. The next prime is 2055209447. The reversal of 2055209408 is 8049025502.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2397716 + ... + 2398572.

Almost surely, 22055209408 is an apocalyptic number.

2055209408 is a gapful number since it is divisible by the number (28) 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 2055209408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2400738912).

2055209408 is an abundant number, since it is smaller than the sum of its proper divisors (2746268416).

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

2055209408 is a wasteful number, since it uses less digits than its factorization.

2055209408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1030 (or 1020 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 35.

The square root of 2055209408 is about 45334.4174772325. The cubic root of 2055209408 is about 1271.4092295072.

The spelling of 2055209408 in words is "two billion, fifty-five million, two hundred nine thousand, four hundred eight".

Divisors: 1 2 4 7 8 14 16 28 32 53 56 64 101 106 112 202 212 224 371 404 424 448 707 742 808 848 857 1414 1484 1616 1696 1714 2828 2968 3232 3392 3428 5353 5656 5936 5999 6464 6856 10706 11312 11872 11998 13712 21412 22624 23744 23996 27424 37471 42824 45248 45421 47992 54848 74942 85648 86557 90842 95984 149884 171296 173114 181684 191968 299768 317947 342592 346228 363368 383936 599536 605899 635894 692456 726736 1199072 1211798 1271788 1384912 1453472 2398144 2423596 2543576 2769824 2906944 4587521 4847192 5087152 5539648 9175042 9694384 10174304 18350084 19388768 20348608 32112647 36700168 38777536 64225294 73400336 128450588 146800672 256901176 293601344 513802352 1027604704 2055209408