Search a number
-
+
553519872 = 2833731097
BaseRepresentation
bin100000111111100…
…000101100000000
31102120112201112000
4200333200230000
52113200113442
6130531504000
716500561363
oct4077405400
91376481460
10553519872
112644a1744
12135458000
138a8a3669
14537280da
15338dad4c
hex20fe0b00

553519872 has 144 divisors (see below), whose sum is σ = 1660790880. Its totient is φ = 181813248.

The previous prime is 553519871. The next prime is 553519903. The reversal of 553519872 is 278915355.

553519872 is a `hidden beast` number, since 5 + 53 + 519 + 87 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (553519871) by changing a digit.

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, 504028 + ... + 505124.

It is an arithmetic number, because the mean of its divisors is an integer number (11533270).

Almost surely, 2553519872 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 553519872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (830395440).

553519872 is an abundant number, since it is smaller than the sum of its proper divisors (1107271008).

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

553519872 is a wasteful number, since it uses less digits than its factorization.

553519872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1195 (or 1175 counting only the distinct ones).

The product of its digits is 378000, while the sum is 45.

The square root of 553519872 is about 23527.0030390613. The cubic root of 553519872 is about 821.0653770678.

The spelling of 553519872 in words is "five hundred fifty-three million, five hundred nineteen thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 73 96 108 128 144 146 192 216 219 256 288 292 384 432 438 576 584 657 768 864 876 1097 1152 1168 1314 1728 1752 1971 2194 2304 2336 2628 3291 3456 3504 3942 4388 4672 5256 6582 6912 7008 7884 8776 9344 9873 10512 13164 14016 15768 17552 18688 19746 21024 26328 28032 29619 31536 35104 39492 42048 52656 56064 59238 63072 70208 78984 80081 84096 105312 118476 126144 140416 157968 160162 168192 210624 236952 240243 252288 280832 315936 320324 421248 473904 480486 504576 631872 640648 720729 842496 947808 960972 1263744 1281296 1441458 1895616 1921944 2162187 2527488 2562592 2882916 3791232 3843888 4324374 5125184 5765832 7582464 7687776 8648748 10250368 11531664 15375552 17297496 20500736 23063328 30751104 34594992 46126656 61502208 69189984 92253312 138379968 184506624 276759936 553519872