Search a number
-
+
468449784 = 233311197159
BaseRepresentation
bin11011111010111…
…111100111111000
31012122110201022000
4123322333213320
51424410343114
6114252301000
714415520545
oct3372774770
91178421260
10468449784
11220478290
12110a71760
137608962a
1446301bcc
152b1d4e09
hex1bebf9f8

468449784 has 64 divisors (see below), whose sum is σ = 1419552000. Its totient is φ = 141953760.

The previous prime is 468449767. The next prime is 468449801. The reversal of 468449784 is 487944864.

It is an interprime number because it is at equal distance from previous prime (468449767) and next prime (468449801).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 468449784.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96204 + ... + 100955.

It is an arithmetic number, because the mean of its divisors is an integer number (22180500).

Almost surely, 2468449784 is an apocalyptic number.

468449784 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

468449784 is an abundant number, since it is smaller than the sum of its proper divisors (951102216).

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

468449784 is a wasteful number, since it uses less digits than its factorization.

468449784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197185 (or 197175 counting only the distinct ones).

The product of its digits is 6193152, while the sum is 54.

The square root of 468449784 is about 21643.7007926094. The cubic root of 468449784 is about 776.6422526868.

The spelling of 468449784 in words is "four hundred sixty-eight million, four hundred forty-nine thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 264 297 396 594 792 1188 2376 197159 394318 591477 788636 1182954 1577272 1774431 2168749 2365908 3548862 4337498 4731816 5323293 6506247 7097724 8674996 10646586 13012494 14195448 17349992 19518741 21293172 26024988 39037482 42586344 52049976 58556223 78074964 117112446 156149928 234224892 468449784