Search a number
-
+
485945964 = 223276432999
BaseRepresentation
bin11100111101101…
…111001001101100
31020212101121112200
4130331233021230
51443400232324
6120115301500
715020321040
oct3475571154
91225347480
10485945964
1122a338439
121168aa890
13798a41ba
1448778020
152c9ddec9
hex1cf6f26c

485945964 has 72 divisors (see below), whose sum is σ = 1406496000. Its totient is φ = 138579552.

The previous prime is 485945927. The next prime is 485945989. The reversal of 485945964 is 469549584.

485945964 is a `hidden beast` number, since 48 + 5 + 9 + 4 + 596 + 4 = 666.

It is a super-2 number, since 2×4859459642 = 472286959855778592, which contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 485945964.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 160537 + ... + 163535.

Almost surely, 2485945964 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 485945964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703248000).

485945964 is an abundant number, since it is smaller than the sum of its proper divisors (920550036).

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

485945964 is a wasteful number, since it uses less digits than its factorization.

485945964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3659 (or 3654 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 54.

The square root of 485945964 is about 22044.1820896127. The cubic root of 485945964 is about 786.1932784209.

The spelling of 485945964 in words is "four hundred eighty-five million, nine hundred forty-five thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 643 1286 1929 2572 2999 3858 4501 5787 5998 7716 8997 9002 11574 11996 13503 17994 18004 20993 23148 26991 27006 35988 40509 41986 53982 54012 62979 81018 83972 107964 125958 162036 188937 251916 377874 755748 1928357 3856714 5785071 7713428 11570142 13498499 17355213 23140284 26996998 34710426 40495497 53993996 69420852 80990994 121486491 161981988 242972982 485945964