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628954092 = 2233133731201
BaseRepresentation
bin100101011111010…
…001001111101100
31121211111011211000
4211133101033230
52242003012332
6142224400300
721405010254
oct4537211754
91554434730
10628954092
112a3034578
12156776090
13a03c57b0
145d762964
153a33bb7c
hex257d13ec

628954092 has 96 divisors (see below), whose sum is σ = 1762228160. Its totient is φ = 192844800.

The previous prime is 628954087. The next prime is 628954097. The reversal of 628954092 is 290459826.

It is an interprime number because it is at equal distance from previous prime (628954087) and next prime (628954097).

It is not an unprimeable number, because it can be changed into a prime (628954097) 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, 523092 + ... + 524292.

Almost surely, 2628954092 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 628954092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (881114080).

628954092 is an abundant number, since it is smaller than the sum of its proper divisors (1133274068).

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

628954092 is a wasteful number, since it uses less digits than its factorization.

628954092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1600 (or 1592 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 628954092 is about 25078.9571553524. The cubic root of 628954092 is about 856.7872248956.

The spelling of 628954092 in words is "six hundred twenty-eight million, nine hundred fifty-four thousand, ninety-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 351 373 468 702 746 1119 1201 1404 1492 2238 2402 3357 3603 4476 4804 4849 6714 7206 9698 10071 10809 13428 14412 14547 15613 19396 20142 21618 29094 31226 32427 40284 43236 43641 46839 58188 62452 64854 87282 93678 129708 130923 140517 174564 187356 261846 281034 421551 447973 523692 562068 843102 895946 1343919 1686204 1791892 2687838 4031757 5375676 5823649 8063514 11647298 12095271 16127028 17470947 23294596 24190542 34941894 48381084 52412841 69883788 104825682 157238523 209651364 314477046 628954092