Search a number
-
+
470195856 = 24321321392
BaseRepresentation
bin11100000001101…
…001111010010000
31012202202102110100
4130001221322100
51430332231411
6114353532400
714436412254
oct3401517220
91182672410
10470195856
11221460119
12111574100
137654b300
1446638264
152b42c456
hex1c069e90

470195856 has 135 divisors (see below), whose sum is σ = 1435229289. Its totient is φ = 143634816.

The previous prime is 470195837. The next prime is 470195881. The reversal of 470195856 is 658591074.

The square root of 470195856 is 21684.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 69555600 + 400640256 = 8340^2 + 20016^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3382635 + ... + 3382773.

Almost surely, 2470195856 is an apocalyptic number.

470195856 is the 21684-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 470195856

470195856 is an abundant number, since it is smaller than the sum of its proper divisors (965033433).

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

470195856 is a wasteful number, since it uses less digits than its factorization.

470195856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The cubic root of 470195856 is about 777.6059930697.

The spelling of 470195856 in words is "four hundred seventy million, one hundred ninety-five thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 139 144 156 169 208 234 278 312 338 417 468 507 556 624 676 834 936 1014 1112 1251 1352 1521 1668 1807 1872 2028 2224 2502 2704 3042 3336 3614 4056 5004 5421 6084 6672 7228 8112 10008 10842 12168 14456 16263 19321 20016 21684 23491 24336 28912 32526 38642 43368 46982 57963 65052 70473 77284 86736 93964 115926 130104 140946 154568 173889 187928 211419 231852 251173 260208 281892 309136 347778 375856 422838 463704 502346 563784 695556 753519 845676 927408 1004692 1127568 1391112 1507038 1691352 2009384 2260557 2782224 3014076 3265249 3382704 4018768 4521114 6028152 6530498 9042228 9795747 12056304 13060996 18084456 19591494 26121992 29387241 36168912 39182988 52243984 58774482 78365976 117548964 156731952 235097928 470195856