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7428916460 = 225727580527
BaseRepresentation
bin1101110101100110…
…00100010011101100
3201011201211001120002
412322303010103230
5110203300311320
63225055243432
7352044514400
oct67263042354
921151731502
107428916460
11317247a989
121533b19578
13915130274
145068cb100
152d72e0675
hex1bacc44ec

7428916460 has 36 divisors (see below), whose sum is σ = 18147784032. Its totient is φ = 2547056736.

The previous prime is 7428916459. The next prime is 7428916463. The reversal of 7428916460 is 646198247.

It is not an unprimeable number, because it can be changed into a prime (7428916463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3789284 + ... + 3791243.

It is an arithmetic number, because the mean of its divisors is an integer number (504105112).

Almost surely, 27428916460 is an apocalyptic number.

7428916460 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

7428916460 is an abundant number, since it is smaller than the sum of its proper divisors (10718867572).

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

7428916460 is a wasteful number, since it uses less digits than its factorization.

7428916460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7580550 (or 7580541 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 47.

The square root of 7428916460 is about 86191.1623079768. The cubic root of 7428916460 is about 1951.2301210547.

The spelling of 7428916460 in words is "seven billion, four hundred twenty-eight million, nine hundred sixteen thousand, four hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 7580527 15161054 30322108 37902635 53063689 75805270 106127378 151610540 212254756 265318445 371445823 530636890 742891646 1061273780 1485783292 1857229115 3714458230 7428916460