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551555040 = 253510710739
BaseRepresentation
bin100000111000000…
…000111111100000
31102102211220021110
4200320000333200
52112144230130
6130421423320
716445066121
oct4070007740
91372756243
10551555040
1126337a513
1213486ab40
138a36623a
1453376048
153364dab0
hex20e00fe0

551555040 has 96 divisors (see below), whose sum is σ = 1753799040. Its totient is φ = 145693184.

The previous prime is 551555033. The next prime is 551555057. The reversal of 551555040 is 40555155.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 551554989 and 551555007.

It is a congruent number.

It is an unprimeable number.

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, 45991 + ... + 56729.

It is an arithmetic number, because the mean of its divisors is an integer number (18268740).

Almost surely, 2551555040 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 551555040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (876899520).

551555040 is an abundant number, since it is smaller than the sum of its proper divisors (1202244000).

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

551555040 is a wasteful number, since it uses less digits than its factorization.

551555040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10864 (or 10856 counting only the distinct ones).

The product of its (nonzero) digits is 12500, while the sum is 30.

The square root of 551555040 is about 23485.2089622383. The cubic root of 551555040 is about 820.0927121030.

The spelling of 551555040 in words is "five hundred fifty-one million, five hundred fifty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 107 120 160 214 240 321 428 480 535 642 856 1070 1284 1605 1712 2140 2568 3210 3424 4280 5136 6420 8560 10272 10739 12840 17120 21478 25680 32217 42956 51360 53695 64434 85912 107390 128868 161085 171824 214780 257736 322170 343648 429560 515472 644340 859120 1030944 1149073 1288680 1718240 2298146 2577360 3447219 4596292 5154720 5745365 6894438 9192584 11490730 13788876 17236095 18385168 22981460 27577752 34472190 36770336 45962920 55155504 68944380 91925840 110311008 137888760 183851680 275777520 551555040