Search a number
-
+
554500992 = 27373131151
BaseRepresentation
bin100001000011010…
…000001110000000
31102122101120100210
4201003100032000
52113423012432
6131004514120
716512115653
oct4103201600
91378346323
10554500992
11265001891
1213584b940
138ab580c6
145390189a
1533a318cc
hex210d0380

554500992 has 128 divisors (see below), whose sum is σ = 1514430720. Its totient is φ = 179712000.

The previous prime is 554500987. The next prime is 554501021. The reversal of 554500992 is 299005455.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 554500992.

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, 3672117 + ... + 3672267.

It is an arithmetic number, because the mean of its divisors is an integer number (11831490).

Almost surely, 2554500992 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 554500992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (757215360).

554500992 is an abundant number, since it is smaller than the sum of its proper divisors (959929728).

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

554500992 is a wasteful number, since it uses less digits than its factorization.

554500992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 39.

The square root of 554500992 is about 23547.8447421415. The cubic root of 554500992 is about 821.5502064990.

The spelling of 554500992 in words is "five hundred fifty-four million, five hundred thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 73 96 128 131 146 151 192 219 262 292 302 384 393 438 453 524 584 604 786 876 906 1048 1168 1208 1572 1752 1812 2096 2336 2416 3144 3504 3624 4192 4672 4832 6288 7008 7248 8384 9344 9563 9664 11023 12576 14016 14496 16768 19126 19328 19781 22046 25152 28032 28689 28992 33069 38252 39562 44092 50304 57378 57984 59343 66138 76504 79124 88184 114756 118686 132276 153008 158248 176368 229512 237372 264552 306016 316496 352736 459024 474744 529104 612032 632992 705472 918048 949488 1058208 1224064 1265984 1410944 1444013 1836096 1898976 2116416 2531968 2888026 3672192 3797952 4232832 4332039 5776052 7595904 8664078 11552104 17328156 23104208 34656312 46208416 69312624 92416832 138625248 184833664 277250496 554500992