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1426631136 = 25372122963
BaseRepresentation
bin101010100001000…
…1010100111100000
310200102110101000020
41111002022213200
510410204144021
6353321353440
750232110310
oct12502124740
93612411006
101426631136
116723290a7
12339938880
13199744248
14d7685440
15853a57c6
hex5508a9e0

1426631136 has 48 divisors (see below), whose sum is σ = 4279895424. Its totient is φ = 407608704.

The previous prime is 1426631117. The next prime is 1426631153. The reversal of 1426631136 is 6311366241.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1426631097 and 1426631106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1060810 + ... + 1062153.

It is an arithmetic number, because the mean of its divisors is an integer number (89164488).

Almost surely, 21426631136 is an apocalyptic number.

1426631136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1426631136 is an abundant number, since it is smaller than the sum of its proper divisors (2853264288).

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

1426631136 is a wasteful number, since it uses less digits than its factorization.

1426631136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2122983 (or 2122975 counting only the distinct ones).

The product of its digits is 15552, while the sum is 33.

The square root of 1426631136 is about 37770.7709214414. The cubic root of 1426631136 is about 1125.7377576644.

Adding to 1426631136 its reverse (6311366241), we get a palindrome (7737997377).

The spelling of 1426631136 in words is "one billion, four hundred twenty-six million, six hundred thirty-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 2122963 4245926 6368889 8491852 12737778 14860741 16983704 25475556 29721482 33967408 44582223 50951112 59442964 67934816 89164446 101902224 118885928 178328892 203804448 237771856 356657784 475543712 713315568 1426631136