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628266084 = 2231961199227
BaseRepresentation
bin100101011100101…
…001010001100100
31121210012020001020
4211130221101210
52241314003314
6142201531140
721366113355
oct4534512144
91553166036
10628266084
112a2704676
121564a3ab0
13a02145a4
145d623d2c
153a252da9
hex25729464

628266084 has 96 divisors (see below), whose sum is σ = 1583232000. Its totient is φ = 193311360.

The previous prime is 628266073. The next prime is 628266097. The reversal of 628266084 is 480662826.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2767579 + ... + 2767805.

It is an arithmetic number, because the mean of its divisors is an integer number (16492000).

Almost surely, 2628266084 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 628266084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (791616000).

628266084 is an abundant number, since it is smaller than the sum of its proper divisors (954965916).

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

628266084 is a wasteful number, since it uses less digits than its factorization.

628266084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The square root of 628266084 is about 25065.2365638148. The cubic root of 628266084 is about 856.4746999464.

The spelling of 628266084 in words is "six hundred twenty-eight million, two hundred sixty-six thousand, eighty-four".

Divisors: 1 2 3 4 6 12 19 38 57 61 76 114 122 183 199 227 228 244 366 398 454 597 681 732 796 908 1159 1194 1362 2318 2388 2724 3477 3781 4313 4636 6954 7562 8626 11343 12139 12939 13847 13908 15124 17252 22686 24278 25878 27694 36417 41541 45173 45372 48556 51756 55388 72834 83082 90346 135519 145668 166164 180692 230641 263093 271038 461282 526186 542076 691923 789279 858287 922564 1052372 1383846 1578558 1716574 2574861 2755553 2767692 3157116 3433148 5149722 5511106 8266659 10299444 11022212 16533318 33066636 52355507 104711014 157066521 209422028 314133042 628266084