Search a number
-
+
463474000 = 24531121067
BaseRepresentation
bin11011101000000…
…000110101010000
31012022002220210201
4123220000311100
51422122132000
6113553504544
714325315103
oct3350006520
91168086721
10463474000
11218689970
1210b272154
1375036892
14457a873a
152aa5096a
hex1ba00d50

463474000 has 80 divisors (see below), whose sum is σ = 1222618176. Its totient is φ = 168528000.

The previous prime is 463473979. The next prime is 463474001. The reversal of 463474000 is 474364.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 463474000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (463474001) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 11467 + ... + 32533.

Almost surely, 2463474000 is an apocalyptic number.

463474000 is a gapful number since it is divisible by the number (40) 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 463474000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611309088).

463474000 is an abundant number, since it is smaller than the sum of its proper divisors (759144176).

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

463474000 is a wasteful number, since it uses less digits than its factorization.

463474000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21101 (or 21085 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 28.

The square root of 463474000 is about 21528.4462978637. The cubic root of 463474000 is about 773.8826771228.

The spelling of 463474000 in words is "four hundred sixty-three million, four hundred seventy-four thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 880 1000 1100 1375 2000 2200 2750 4400 5500 11000 21067 22000 42134 84268 105335 168536 210670 231737 337072 421340 463474 526675 842680 926948 1053350 1158685 1685360 1853896 2106700 2317370 2633375 3707792 4213400 4634740 5266750 5793425 8426800 9269480 10533500 11586850 18538960 21067000 23173700 28967125 42134000 46347400 57934250 92694800 115868500 231737000 463474000