Search a number
-
+
469135968 = 253723127239
BaseRepresentation
bin11011111101100…
…111001001100000
31012200202120120020
4123331213021200
51430044322333
6114315113440
714424406230
oct3375471140
91180676506
10469135968
112208a6884
12111142880
1376269a62
144643dcc0
152b2bd3b3
hex1bf67260

469135968 has 192 divisors, whose sum is σ = 1486356480. Its totient is φ = 126669312.

The previous prime is 469135967. The next prime is 469135993. The reversal of 469135968 is 869531964.

It is a self number, because there is not a number n which added to its sum of digits gives 469135968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (469135967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1962793 + ... + 1963031.

It is an arithmetic number, because the mean of its divisors is an integer number (7741440).

Almost surely, 2469135968 is an apocalyptic number.

469135968 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 469135968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (743178240).

469135968 is an abundant number, since it is smaller than the sum of its proper divisors (1017220512).

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

469135968 is a wasteful number, since it uses less digits than its factorization.

469135968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 401 counting only the distinct ones).

The product of its digits is 1399680, while the sum is 51.

The square root of 469135968 is about 21659.5468096634. The cubic root of 469135968 is about 777.0212755198.

The spelling of 469135968 in words is "four hundred sixty-nine million, one hundred thirty-five thousand, nine hundred sixty-eight".