Search a number
-
+
551552960 = 2657733373
BaseRepresentation
bin100000111000000…
…000011111000000
31102102211210102102
4200320000133000
52112144143320
6130421405532
716445060060
oct4070003700
91372753372
10551552960
112633789a2
121348698a8
138a3652ca
14533753a0
153364d175
hex20e007c0

551552960 has 112 divisors (see below), whose sum is σ = 1522024896. Its totient is φ = 186458112.

The previous prime is 551552929. The next prime is 551553017. The reversal of 551552960 is 69255155.

551552960 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

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, 161834 + ... + 165206.

It is an arithmetic number, because the mean of its divisors is an integer number (13589508).

Almost surely, 2551552960 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 551552960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761012448).

551552960 is an abundant number, since it is smaller than the sum of its proper divisors (970471936).

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

551552960 is a wasteful number, since it uses less digits than its factorization.

551552960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3470 (or 3460 counting only the distinct ones).

The product of its (nonzero) digits is 67500, while the sum is 38.

The square root of 551552960 is about 23485.1646790053. The cubic root of 551552960 is about 820.0916812026.

The spelling of 551552960 in words is "five hundred fifty-one million, five hundred fifty-two thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 73 80 112 140 146 160 224 280 292 320 365 448 511 560 584 730 1022 1120 1168 1460 2044 2240 2336 2555 2920 3373 4088 4672 5110 5840 6746 8176 10220 11680 13492 16352 16865 20440 23360 23611 26984 32704 33730 40880 47222 53968 67460 81760 94444 107936 118055 134920 163520 188888 215872 236110 246229 269840 377776 472220 492458 539680 755552 944440 984916 1079360 1231145 1511104 1723603 1888880 1969832 2462290 3447206 3777760 3939664 4924580 6894412 7555520 7879328 8618015 9849160 13788824 15758656 17236030 19698320 27577648 34472060 39396640 55155296 68944120 78793280 110310592 137888240 275776480 551552960