Search a number
-
+
553798272 = 2735327211
BaseRepresentation
bin100001000000100…
…100101010000000
31102121001212102010
4201000210222000
52113233021042
6130541452520
716503131136
oct4100445200
91377055363
10553798272
11264671925
12135571140
138a9702b1
145379b756
153394359c
hex21024a80

553798272 has 64 divisors (see below), whose sum is σ = 1498836960. Its totient is φ = 181109760.

The previous prime is 553798213. The next prime is 553798309. The reversal of 553798272 is 272897355.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6747 + ... + 33957.

Almost surely, 2553798272 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 553798272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749418480).

553798272 is an abundant number, since it is smaller than the sum of its proper divisors (945038688).

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

553798272 is a wasteful number, since it uses less digits than its factorization.

553798272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27281 (or 27269 counting only the distinct ones).

The product of its digits is 1058400, while the sum is 48.

The square root of 553798272 is about 23532.9189009778. The cubic root of 553798272 is about 821.2030091566.

The spelling of 553798272 in words is "five hundred fifty-three million, seven hundred ninety-eight thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 128 159 192 212 318 384 424 636 848 1272 1696 2544 3392 5088 6784 10176 20352 27211 54422 81633 108844 163266 217688 326532 435376 653064 870752 1306128 1442183 1741504 2612256 2884366 3483008 4326549 5224512 5768732 8653098 10449024 11537464 17306196 23074928 34612392 46149856 69224784 92299712 138449568 184599424 276899136 553798272