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553274880 = 2935611181
BaseRepresentation
bin100000111110100…
…100111000000000
31102120002021110020
4200332210320000
52113114244010
6130522333440
716465521204
oct4076447000
91376067406
10553274880
11264344674
1213535a280
138a818cb2
14536a2b04
153388d470
hex20fa4e00

553274880 has 160 divisors (see below), whose sum is σ = 1799268768. Its totient is φ = 144998400.

The previous prime is 553274879. The next prime is 553274881. The reversal of 553274880 is 88472355.

It is an interprime number because it is at equal distance from previous prime (553274879) and next prime (553274881).

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×5532748802 = 612226185678028800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (553274881) 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 15 ways as a sum of consecutive naturals, for example, 467890 + ... + 469070.

Almost surely, 2553274880 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 553274880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (899634384).

553274880 is an abundant number, since it is smaller than the sum of its proper divisors (1245993888).

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

553274880 is a wasteful number, since it uses less digits than its factorization.

553274880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1268 (or 1252 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 42.

The square root of 553274880 is about 23521.7958498070. The cubic root of 553274880 is about 820.9442226499.

The spelling of 553274880 in words is "five hundred fifty-three million, two hundred seventy-four thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 61 64 80 96 120 122 128 160 183 192 240 244 256 305 320 366 384 480 488 512 610 640 732 768 915 960 976 1181 1220 1280 1464 1536 1830 1920 1952 2362 2440 2560 2928 3543 3660 3840 3904 4724 4880 5856 5905 7086 7320 7680 7808 9448 9760 11712 11810 14172 14640 15616 17715 18896 19520 23424 23620 28344 29280 31232 35430 37792 39040 46848 47240 56688 58560 70860 72041 75584 78080 93696 94480 113376 117120 141720 144082 151168 156160 188960 216123 226752 234240 283440 288164 302336 360205 377920 432246 453504 468480 566880 576328 604672 720410 755840 864492 907008 1080615 1133760 1152656 1440820 1511680 1728984 1814016 2161230 2267520 2305312 2881640 3023360 3457968 4322460 4535040 4610624 5763280 6915936 8644920 9070080 9221248 11526560 13831872 17289840 18442496 23053120 27663744 34579680 36884992 46106240 55327488 69159360 92212480 110654976 138318720 184424960 276637440 553274880