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552565680 = 24355939023
BaseRepresentation
bin100000111011110…
…111101110110000
31102111202020121120
4200323313232300
52112424100210
6130455222240
716456505442
oct4073675660
91374666546
10552565680
112639aa857
12135077980
138a62b254
145355a492
153379d270
hex20ef7bb0

552565680 has 80 divisors (see below), whose sum is σ = 1742031360. Its totient is φ = 144849664.

The previous prime is 552565649. The next prime is 552565687. The reversal of 552565680 is 86565255.

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

It is not an unprimeable number, because it can be changed into a prime (552565687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5352 + ... + 33671.

It is an arithmetic number, because the mean of its divisors is an integer number (21775392).

Almost surely, 2552565680 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 552565680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (871015680).

552565680 is an abundant number, since it is smaller than the sum of its proper divisors (1189465680).

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

552565680 is a wasteful number, since it uses less digits than its factorization.

552565680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39098 (or 39092 counting only the distinct ones).

The product of its (nonzero) digits is 360000, while the sum is 42.

The square root of 552565680 is about 23506.7156361751. The cubic root of 552565680 is about 820.5933045043.

The spelling of 552565680 in words is "five hundred fifty-two million, five hundred sixty-five thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 59 60 80 118 120 177 236 240 295 354 472 590 708 885 944 1180 1416 1770 2360 2832 3540 4720 7080 14160 39023 78046 117069 156092 195115 234138 312184 390230 468276 585345 624368 780460 936552 1170690 1560920 1873104 2302357 2341380 3121840 4604714 4682760 6907071 9209428 9365520 11511785 13814142 18418856 23023570 27628284 34535355 36837712 46047140 55256568 69070710 92094280 110513136 138141420 184188560 276282840 552565680