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1426347296 = 251110339341
BaseRepresentation
bin101010100000100…
…0101010100100000
310200101220221122122
41111001011110200
510410121103141
6353311323412
750226515633
oct12501052440
93611827578
101426347296
11672154920
12339820568
13199674caa
14d760dc1a
158534b64b
hex55045520

1426347296 has 48 divisors (see below), whose sum is σ = 3093225408. Its totient is φ = 642028800.

The previous prime is 1426347259. The next prime is 1426347301. The reversal of 1426347296 is 6927436241.

It is a Harshad number since it is a multiple of its sum of digits (44).

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, 16586 + ... + 55926.

It is an arithmetic number, because the mean of its divisors is an integer number (64442196).

Almost surely, 21426347296 is an apocalyptic number.

1426347296 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 1426347296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1546612704).

1426347296 is an abundant number, since it is smaller than the sum of its proper divisors (1666878112).

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

1426347296 is a wasteful number, since it uses less digits than its factorization.

1426347296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39465 (or 39457 counting only the distinct ones).

The product of its digits is 435456, while the sum is 44.

The square root of 1426347296 is about 37767.0133317423. The cubic root of 1426347296 is about 1125.6630944501.

The spelling of 1426347296 in words is "one billion, four hundred twenty-six million, three hundred forty-seven thousand, two hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 32 44 88 103 176 206 352 412 824 1133 1648 2266 3296 4532 9064 18128 36256 39341 78682 157364 314728 432751 629456 865502 1258912 1731004 3462008 4052123 6924016 8104246 13848032 16208492 32416984 44573353 64833968 89146706 129667936 178293412 356586824 713173648 1426347296