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7428433452 = 22311442281
BaseRepresentation
bin1101110101100010…
…01110011000101100
3201011200220111222220
412322301032120230
5110203134332302
63225041035340
7352040433246
oct67261163054
921150814886
107428433452
113172180000
121533925b50
13914cc146b
14506803096
152d72474bc
hex1bac4e62c

7428433452 has 60 divisors (see below), whose sum is σ = 19066645080. Its totient is φ = 2250987200.

The previous prime is 7428433403. The next prime is 7428433457. The reversal of 7428433452 is 2543348247.

It is not an unprimeable number, because it can be changed into a prime (7428433457) 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 19 ways as a sum of consecutive naturals, for example, 154552 + ... + 196832.

It is an arithmetic number, because the mean of its divisors is an integer number (317777418).

Almost surely, 27428433452 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7428433452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9533322540).

7428433452 is an abundant number, since it is smaller than the sum of its proper divisors (11638211628).

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

7428433452 is a wasteful number, since it uses less digits than its factorization.

7428433452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42332 (or 42297 counting only the distinct ones).

The product of its digits is 645120, while the sum is 42.

The square root of 7428433452 is about 86188.3603046258. The cubic root of 7428433452 is about 1951.1878322414.

The spelling of 7428433452 in words is "seven billion, four hundred twenty-eight million, four hundred thirty-three thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 242 363 484 726 1331 1452 2662 3993 5324 7986 14641 15972 29282 42281 43923 58564 84562 87846 126843 169124 175692 253686 465091 507372 930182 1395273 1860364 2790546 5116001 5581092 10232002 15348003 20464004 30696006 56276011 61392012 112552022 168828033 225104044 337656066 619036121 675312132 1238072242 1857108363 2476144484 3714216726 7428433452