Search a number
-
+
573672096 = 253283103233
BaseRepresentation
bin100010001100011…
…000101010100000
31110222110120011200
4202030120222200
52133330001341
6132531441200
720134063254
oct4214305240
91428416150
10573672096
11274906378
12140156200
1391b0b15a
1456292264
153556bdb6
hex22318aa0

573672096 has 144 divisors (see below), whose sum is σ = 1674219456. Its totient is φ = 186283008.

The previous prime is 573672091. The next prime is 573672097. The reversal of 573672096 is 690276375.

573672096 is a `hidden beast` number, since 573 + 6 + 72 + 0 + 9 + 6 = 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 (573672091) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2461996 + ... + 2462228.

It is an arithmetic number, because the mean of its divisors is an integer number (11626524).

Almost surely, 2573672096 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 573672096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (837109728).

573672096 is an abundant number, since it is smaller than the sum of its proper divisors (1100547360).

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

573672096 is a wasteful number, since it uses less digits than its factorization.

573672096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 45.

The square root of 573672096 is about 23951.4528995633. The cubic root of 573672096 is about 830.9111279623.

The spelling of 573672096 in words is "five hundred seventy-three million, six hundred seventy-two thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 83 96 103 144 166 206 233 249 288 309 332 412 466 498 618 664 699 747 824 927 932 996 1236 1328 1398 1494 1648 1854 1864 1992 2097 2472 2656 2796 2988 3296 3708 3728 3984 4194 4944 5592 5976 7416 7456 7968 8388 8549 9888 11184 11952 14832 16776 17098 19339 22368 23904 23999 25647 29664 33552 34196 38678 47998 51294 58017 67104 68392 71997 76941 77356 95996 102588 116034 136784 143994 153882 154712 174051 191992 205176 215991 232068 273568 287988 307764 309424 348102 383984 410352 431982 464136 575976 615528 618848 696204 767968 820704 863964 928272 1151952 1231056 1392408 1727928 1856544 1991917 2303904 2462112 2784816 3455856 3983834 5569632 5975751 6911712 7967668 11951502 15935336 17927253 23903004 31870672 35854506 47806008 63741344 71709012 95612016 143418024 191224032 286836048 573672096