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628499424 = 25374492083
BaseRepresentation
bin100101011101100…
…010001111100000
31121210122002010110
4211131202033200
52241343440144
6142210531320
721401104560
oct4535421740
91553562113
10628499424
112a2853a13
12156596b40
13a0296867
145d684da0
153a29c0b9
hex257623e0

628499424 has 96 divisors (see below), whose sum is σ = 1890604800. Its totient is φ = 179085312.

The previous prime is 628499407. The next prime is 628499429. The reversal of 628499424 is 424994826.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×6284994243 (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (628499429) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 300687 + ... + 302769.

It is an arithmetic number, because the mean of its divisors is an integer number (19693800).

Almost surely, 2628499424 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 628499424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (945302400).

628499424 is an abundant number, since it is smaller than the sum of its proper divisors (1262105376).

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

628499424 is a wasteful number, since it uses less digits than its factorization.

628499424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2552 (or 2544 counting only the distinct ones).

The product of its digits is 995328, while the sum is 48.

The square root of 628499424 is about 25069.8907855619. The cubic root of 628499424 is about 856.5807192881.

The spelling of 628499424 in words is "six hundred twenty-eight million, four hundred ninety-nine thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 449 672 898 1347 1796 2083 2694 3143 3592 4166 5388 6249 6286 7184 8332 9429 10776 12498 12572 14368 14581 16664 18858 21552 24996 25144 29162 33328 37716 43104 43743 49992 50288 58324 66656 75432 87486 99984 100576 116648 150864 174972 199968 233296 301728 349944 466592 699888 935267 1399776 1870534 2805801 3741068 5611602 6546869 7482136 11223204 13093738 14964272 19640607 22446408 26187476 29928544 39281214 44892816 52374952 78562428 89785632 104749904 157124856 209499808 314249712 628499424