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428449120 = 25511243437
BaseRepresentation
bin11001100010011…
…001110101100000
31002212012110200221
4121202121311200
51334140332440
6110303052424
713421520541
oct3142316540
91085173627
10428449120
111aa937190
12bb5a1114
136a9c26b8
1440c8c4c8
1527932d4a
hex19899d60

428449120 has 48 divisors (see below), whose sum is σ = 1104234768. Its totient is φ = 155799040.

The previous prime is 428449117. The next prime is 428449127. The reversal of 428449120 is 21944824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428449127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 119959 + ... + 123478.

It is an arithmetic number, because the mean of its divisors is an integer number (23004891).

Almost surely, 2428449120 is an apocalyptic number.

428449120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

428449120 is an abundant number, since it is smaller than the sum of its proper divisors (675785648).

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

428449120 is a wasteful number, since it uses less digits than its factorization.

428449120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243463 (or 243455 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The square root of 428449120 is about 20699.0125368337. The cubic root of 428449120 is about 753.8757121229.

The spelling of 428449120 in words is "four hundred twenty-eight million, four hundred forty-nine thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 243437 486874 973748 1217185 1947496 2434370 2677807 3894992 4868740 5355614 7789984 9737480 10711228 13389035 19474960 21422456 26778070 38949920 42844912 53556140 85689824 107112280 214224560 428449120