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550215280 = 245311491489
BaseRepresentation
bin100000110010111…
…001111001110000
31102100022211110201
4200302321321300
52111323342110
6130333004544
716430516116
oct4062717160
91370284421
10550215280
1126264497a
12134323754
1389cb7494
1453107ab6
1533486b3a
hex20cb9e70

550215280 has 80 divisors (see below), whose sum is σ = 1330272000. Its totient is φ = 211415040.

The previous prime is 550215277. The next prime is 550215283. The reversal of 550215280 is 82512055.

550215280 = T1 + T2 + ... + T1488.

550215280 is a nontrivial binomial coefficient, being equal to C(1490, 3).

It is an interprime number because it is at equal distance from previous prime (550215277) and next prime (550215283).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (550215283) by changing a digit.

It is the 1488-th tetrahedral number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 368776 + ... + 370264.

It is an arithmetic number, because the mean of its divisors is an integer number (16628400).

Almost surely, 2550215280 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 550215280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665136000).

550215280 is an abundant number, since it is smaller than the sum of its proper divisors (780056720).

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

550215280 is a wasteful number, since it uses less digits than its factorization.

550215280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1682 (or 1676 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 28.

The square root of 550215280 is about 23456.6681350954. The cubic root of 550215280 is about 819.4281557370.

The spelling of 550215280 in words is "five hundred fifty million, two hundred fifteen thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 149 155 248 298 310 496 596 620 745 1192 1240 1489 1490 2384 2480 2978 2980 4619 5956 5960 7445 9238 11912 11920 14890 18476 23095 23824 29780 36952 46159 46190 59560 73904 92318 92380 119120 184636 184760 221861 230795 369272 369520 443722 461590 738544 887444 923180 1109305 1774888 1846360 2218610 3549776 3692720 4437220 6877691 8874440 13755382 17748880 27510764 34388455 55021528 68776910 110043056 137553820 275107640 550215280