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1428590361 = 311711274801
BaseRepresentation
bin101010100100110…
…1000111100011001
310200120010220120010
41111021220330121
510411204342421
6353431352133
750254550322
oct12511507431
93616126503
101428590361
116734470a0
1233a522649
13199c7bc53
14d7a35449
1585641076
hex55268f19

1428590361 has 32 divisors (see below), whose sum is σ = 2124251136. Its totient is φ = 846720000.

The previous prime is 1428590309. The next prime is 1428590369. The reversal of 1428590361 is 1630958241.

It is not a de Polignac number, because 1428590361 - 223 = 1420201753 is a prime.

It is a super-2 number, since 2×14285903612 = 4081740839084220642, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1428590369) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 295161 + ... + 299961.

It is an arithmetic number, because the mean of its divisors is an integer number (66382848).

Almost surely, 21428590361 is an apocalyptic number.

1428590361 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1428590361 is a deficient number, since it is larger than the sum of its proper divisors (695660775).

1428590361 is a wasteful number, since it uses less digits than its factorization.

1428590361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5013.

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 1428590361 is about 37796.6977525815. The cubic root of 1428590361 is about 1126.2528556967.

The spelling of 1428590361 in words is "one billion, four hundred twenty-eight million, five hundred ninety thousand, three hundred sixty-one".

Divisors: 1 3 11 33 71 127 213 381 781 1397 2343 4191 4801 9017 14403 27051 52811 99187 158433 297561 340871 609727 1022613 1829181 3749581 6706997 11248743 20120991 43290617 129871851 476196787 1428590361