Search a number
-
+
1426968576 = 21234111723
BaseRepresentation
bin101010100001101…
…1101000000000000
310200110002111220000
41111003131000000
510410300443301
6353332520000
750235014145
oct12503350000
93613074800
101426968576
11672539680
12339a80000
13199831a07
14d77323cc
1585420786
hex550dd000

1426968576 has 520 divisors, whose sum is σ = 5137919424. Its totient is φ = 389283840.

The previous prime is 1426968563. The next prime is 1426968581. The reversal of 1426968576 is 6758696241.

1426968576 is a `hidden beast` number, since 1 + 4 + 2 + 6 + 9 + 68 + 576 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (4354560) is a multiple of the sum of its prime divisors (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 62042101 + ... + 62042123.

Almost surely, 21426968576 is an apocalyptic number.

1426968576 is a gapful number since it is divisible by the number (16) 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 1426968576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2568959712).

1426968576 is an abundant number, since it is smaller than the sum of its proper divisors (3710950848).

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

1426968576 is a wasteful number, since it uses less digits than its factorization.

1426968576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 56 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The square root of 1426968576 is about 37775.2376034883. The cubic root of 1426968576 is about 1125.8265073052.

The spelling of 1426968576 in words is "one billion, four hundred twenty-six million, nine hundred sixty-eight thousand, five hundred seventy-six".