Search a number
-
+
461444928 = 2637343337
BaseRepresentation
bin11011100000010…
…001011101000000
31012011021211102220
4123200101131000
51421112214203
6113442211040
714302134330
oct3340213500
91164254386
10461444928
1121752344a
1210a653a80
13747a6149
14453db0c0
152a79e653
hex1b811740

461444928 has 56 divisors (see below), whose sum is σ = 1395325632. Its totient is φ = 131841024.

The previous prime is 461444909. The next prime is 461444939. The reversal of 461444928 is 829444164.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 461444928.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 170325 + ... + 173012.

Almost surely, 2461444928 is an apocalyptic number.

461444928 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

461444928 is an abundant number, since it is smaller than the sum of its proper divisors (933880704).

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

461444928 is a wasteful number, since it uses less digits than its factorization.

461444928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343359 (or 343349 counting only the distinct ones).

The product of its digits is 221184, while the sum is 42.

The square root of 461444928 is about 21481.2692362439. The cubic root of 461444928 is about 772.7516817992.

The spelling of 461444928 in words is "four hundred sixty-one million, four hundred forty-four thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 343337 686674 1030011 1373348 2060022 2403359 2746696 4120044 4806718 5493392 7210077 8240088 9613436 10986784 14420154 16480176 19226872 21973568 28840308 32960352 38453744 57680616 65920704 76907488 115361232 153814976 230722464 461444928