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628054452 = 223353113971
BaseRepresentation
bin100101011011110…
…101100110110100
31121202210110202000
4211123311212310
52241240220302
6142153215300
721364242354
oct4533654664
91552713660
10628054452
112a257a673
12156401530
13a016c16c
145d5aab64
153a21031c
hex256f59b4

628054452 has 96 divisors (see below), whose sum is σ = 1675416960. Its totient is φ = 203374080.

The previous prime is 628054439. The next prime is 628054457. The reversal of 628054452 is 254450826.

It is a happy number.

628054452 is a `hidden beast` number, since 62 + 8 + 0 + 544 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (628054457) 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 31 ways as a sum of consecutive naturals, for example, 646327 + ... + 647297.

It is an arithmetic number, because the mean of its divisors is an integer number (17452260).

Almost surely, 2628054452 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 628054452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (837708480).

628054452 is an abundant number, since it is smaller than the sum of its proper divisors (1047362508).

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

628054452 is a wasteful number, since it uses less digits than its factorization.

628054452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1150 (or 1142 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 628054452 is about 25061.0145844098. The cubic root of 628054452 is about 856.3785210532.

The spelling of 628054452 in words is "six hundred twenty-eight million, fifty-four thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 53 54 106 108 113 159 212 226 318 339 452 477 636 678 954 971 1017 1356 1431 1908 1942 2034 2862 2913 3051 3884 4068 5724 5826 5989 6102 8739 11652 11978 12204 17478 17967 23956 26217 34956 35934 51463 52434 53901 71868 102926 104868 107802 109723 154389 161703 205852 215604 219446 308778 323406 329169 438892 463167 617556 646812 658338 926334 987507 1316676 1389501 1852668 1975014 2779002 2962521 3950028 5558004 5815319 5925042 11630638 11850084 17445957 23261276 34891914 52337871 69783828 104675742 157013613 209351484 314027226 628054452