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628704450 = 233521142337
BaseRepresentation
bin100101011110010…
…100010011000010
31121211000111101000
4211132110103002
52241422020300
6142215152430
721402620403
oct4536242302
91554014330
10628704450
112a2983a60
12156675716
13a0338c8a
145d6d99aa
153a2dcc00
hex257944c2

628704450 has 96 divisors (see below), whose sum is σ = 1889968320. Its totient is φ = 152409600.

The previous prime is 628704449. The next prime is 628704451. The reversal of 628704450 is 54407826.

It is an interprime number because it is at equal distance from previous prime (628704449) and next prime (628704451).

It is not an unprimeable number, because it can be changed into a prime (628704451) 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 47 ways as a sum of consecutive naturals, for example, 6319 + ... + 36018.

It is an arithmetic number, because the mean of its divisors is an integer number (19687170).

Almost surely, 2628704450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 628704450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (944984160).

628704450 is an abundant number, since it is smaller than the sum of its proper divisors (1261263870).

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

628704450 is a wasteful number, since it uses less digits than its factorization.

628704450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42369 (or 42358 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 628704450 is about 25073.9795405516. The cubic root of 628704450 is about 856.6738523490.

It can be divided in two parts, 628 and 704450, that added together give a triangular number (705078 = T1187).

The spelling of 628704450 in words is "six hundred twenty-eight million, seven hundred four thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 25 27 30 33 45 50 54 55 66 75 90 99 110 135 150 165 198 225 270 275 297 330 450 495 550 594 675 825 990 1350 1485 1650 2475 2970 4950 7425 14850 42337 84674 127011 211685 254022 381033 423370 465707 635055 762066 931414 1058425 1143099 1270110 1397121 1905165 2116850 2286198 2328535 2794242 3175275 3810330 4191363 4657070 5715495 6350550 6985605 8382726 9525825 11430990 11642675 12574089 13971210 19051650 20956815 23285350 25148178 28577475 34928025 41913630 57154950 62870445 69856050 104784075 125740890 209568150 314352225 628704450