Search a number
-
+
427313088 = 2632173151
BaseRepresentation
bin11001011110000…
…100011111000000
31002210001202100200
4121132010133000
51333343004323
6110222445200
713406046516
oct3136043700
91083052320
10427313088
111aa230714
12bb133800
136a6b55a7
1440a744b6
15277ab443
hex197847c0

427313088 has 168 divisors, whose sum is σ = 1309969440. Its totient is φ = 133171200.

The previous prime is 427313063. The next prime is 427313093. The reversal of 427313088 is 880313724.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2829813 + ... + 2829963.

Almost surely, 2427313088 is an apocalyptic number.

427313088 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 427313088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654984720).

427313088 is an abundant number, since it is smaller than the sum of its proper divisors (882656352).

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

427313088 is a wasteful number, since it uses less digits than its factorization.

427313088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 427313088 is about 20671.5526267380. The cubic root of 427313088 is about 753.2088223662.

The spelling of 427313088 in words is "four hundred twenty-seven million, three hundred thirteen thousand, eighty-eight".