Search a number
-
+
920394244 = 22721121972
BaseRepresentation
bin110110110111000…
…001101000000100
32101010212212112201
4312313001220010
53341110103434
6231155124244
731544136100
oct6667015004
92333785481
10920394244
114325a1900
122182a3684
131188b73a3
148a348900
1555c09614
hex36dc1a04

920394244 has 81 divisors (see below), whose sum is σ = 2069984469. Its totient is φ = 356774880.

The previous prime is 920394239. The next prime is 920394253. The reversal of 920394244 is 442493029.

The square root of 920394244 is 30338.

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., 901800900 + 18593344 = 30030^2 + 4312^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4671954 + ... + 4672150.

Almost surely, 2920394244 is an apocalyptic number.

920394244 is the 30338-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 920394244

920394244 is an abundant number, since it is smaller than the sum of its proper divisors (1149590225).

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

920394244 is a wasteful number, since it uses less digits than its factorization.

920394244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 37.

The cubic root of 920394244 is about 972.7277329403.

The spelling of 920394244 in words is "nine hundred twenty million, three hundred ninety-four thousand, two hundred forty-four".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 98 121 154 196 197 242 308 394 484 539 788 847 1078 1379 1694 2156 2167 2758 3388 4334 5516 5929 8668 9653 11858 15169 19306 23716 23837 30338 38612 38809 47674 60676 77618 95348 106183 155236 166859 212366 271663 333718 424732 426899 543326 667436 853798 1086652 1168013 1707596 1901641 2336026 2988293 3803282 4672052 4695889 5976586 7606564 9391778 11953172 18783556 20918051 32871223 41836102 65742446 83672204 131484892 230098561 460197122 920394244