Search a number
-
+
542204928 = 210352179
BaseRepresentation
bin100000010100010…
…110010000000000
31101210020212100000
4200110112100000
52102301024203
6125445200000
716302444246
oct4024262000
91353225300
10542204928
11259073651
12131700000
1388441425
1452020796
15329034a3
hex20516400

542204928 has 132 divisors (see below), whose sum is σ = 1624335440. Its totient is φ = 180652032.

The previous prime is 542204899. The next prime is 542204969. The reversal of 542204928 is 829402245.

542204928 is a `hidden beast` number, since 542 + 20 + 4 + 92 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 542204892 and 542204901.

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 11 ways as a sum of consecutive naturals, for example, 247743 + ... + 249921.

Almost surely, 2542204928 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 542204928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (812167720).

542204928 is an abundant number, since it is smaller than the sum of its proper divisors (1082130512).

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

542204928 is an equidigital number, since it uses as much as digits as its factorization.

542204928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2214 (or 2184 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 542204928 is about 23285.2942433631. The cubic root of 542204928 is about 815.4321308528.

The spelling of 542204928 in words is "five hundred forty-two million, two hundred four thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 512 576 648 768 864 972 1024 1152 1296 1536 1728 1944 2179 2304 2592 3072 3456 3888 4358 4608 5184 6537 6912 7776 8716 9216 10368 13074 13824 15552 17432 19611 20736 26148 27648 31104 34864 39222 41472 52296 58833 62208 69728 78444 82944 104592 117666 124416 139456 156888 176499 209184 235332 248832 278912 313776 352998 418368 470664 529497 557824 627552 705996 836736 941328 1058994 1115648 1255104 1411992 1673472 1882656 2117988 2231296 2510208 2823984 3346944 3765312 4235976 5020416 5647968 6693888 7530624 8471952 10040832 11295936 15061248 16943904 20081664 22591872 30122496 33887808 45183744 60244992 67775616 90367488 135551232 180734976 271102464 542204928