Search a number
-
+
463196928 = 2831394339
BaseRepresentation
bin11011100110111…
…101001100000000
31012021120211201210
4123212331030000
51422034300203
6113543530120
714323052235
oct3346751400
91167524653
10463196928
1121850a787
1210b159940
1374c6a72c
144573578c
152a9e8803
hex1b9bd300

463196928 has 72 divisors (see below), whose sum is σ = 1241934400. Its totient is φ = 153252864.

The previous prime is 463196897. The next prime is 463196933. The reversal of 463196928 is 829691364.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 104583 + ... + 108921.

Almost surely, 2463196928 is an apocalyptic number.

463196928 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 463196928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620967200).

463196928 is an abundant number, since it is smaller than the sum of its proper divisors (778737472).

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

463196928 is a wasteful number, since it uses less digits than its factorization.

463196928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4497 (or 4483 counting only the distinct ones).

The product of its digits is 559872, while the sum is 48.

The square root of 463196928 is about 21522.0103150240. The cubic root of 463196928 is about 773.7284333296.

The spelling of 463196928 in words is "four hundred sixty-three million, one hundred ninety-six thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 139 192 256 278 384 417 556 768 834 1112 1668 2224 3336 4339 4448 6672 8678 8896 13017 13344 17356 17792 26034 26688 34712 35584 52068 53376 69424 104136 106752 138848 208272 277696 416544 555392 603121 833088 1110784 1206242 1666176 1809363 2412484 3332352 3618726 4824968 7237452 9649936 14474904 19299872 28949808 38599744 57899616 77199488 115799232 154398976 231598464 463196928