Search a number
-
+
423891600 = 2435211171889
BaseRepresentation
bin11001010001000…
…001001010010000
31002112121220221220
4121101001022100
51332004012400
6110021245040
713335006366
oct3121011220
91075556856
10423891600
111a8304040
12b9b63780
1369a88142
1440423636
15273327a0
hex19441290

423891600 has 240 divisors, whose sum is σ = 1569274560. Its totient is φ = 96665600.

The previous prime is 423891581. The next prime is 423891607. The reversal of 423891600 is 6198324.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (423891607) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 223456 + ... + 225344.

It is an arithmetic number, because the mean of its divisors is an integer number (6538644).

Almost surely, 2423891600 is an apocalyptic number.

423891600 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 423891600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (784637280).

423891600 is an abundant number, since it is smaller than the sum of its proper divisors (1145382960).

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

423891600 is a wasteful number, since it uses less digits than its factorization.

423891600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1938 (or 1927 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 423891600 is about 20588.6279290292. The cubic root of 423891600 is about 751.1931231586.

The spelling of 423891600 in words is "four hundred twenty-three million, eight hundred ninety-one thousand, six hundred".