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628271325 = 325211247491
BaseRepresentation
bin100101011100101…
…010100011011101
31121210012111020100
4211130222203131
52241314140300
6142202011313
721366134553
oct4534524335
91553174210
10628271325
112a2708600
121564a6b39
13a0216aa6
145d625bd3
153a254700
hex2572a8dd

628271325 has 108 divisors (see below), whose sum is σ = 1265793984. Its totient is φ = 297528000.

The previous prime is 628271311. The next prime is 628271377. The reversal of 628271325 is 523172826.

628271325 is a `hidden beast` number, since 62 + 8 + 271 + 325 = 666.

It is not a de Polignac number, because 628271325 - 29 = 628270813 is a prime.

Its product of digits (40320) is a multiple of the sum of its prime factors (576).

It is a self number, because there is not a number n which added to its sum of digits gives 628271325.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1279330 + ... + 1279820.

Almost surely, 2628271325 is an apocalyptic number.

It is an amenable number.

628271325 is an abundant number, since it is smaller than the sum of its proper divisors (637522659).

628271325 is a wasteful number, since it uses less digits than its factorization.

628271325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576 (or 557 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 628271325 is about 25065.3411107848. The cubic root of 628271325 is about 856.4770815124.

It can be divided in two parts, 628 and 271325, that added together give a triangular number (271953 = T737).

The spelling of 628271325 in words is "six hundred twenty-eight million, two hundred seventy-one thousand, three hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 33 45 47 55 75 99 121 141 165 225 235 275 363 423 491 495 517 605 705 825 1089 1175 1473 1551 1815 2115 2455 2475 2585 3025 3525 4419 4653 5401 5445 5687 7365 7755 9075 10575 12275 12925 16203 17061 22095 23077 23265 27005 27225 28435 36825 38775 48609 51183 59411 69231 81015 85305 110475 115385 116325 135025 142175 178233 207693 243045 253847 255915 297055 346155 405075 426525 534699 576925 761541 891165 1038465 1215225 1269235 1279575 1485275 1730775 2284623 2673495 2792317 3807705 4455825 5192325 6346175 8376951 11423115 13367475 13961585 19038525 25130853 41884755 57115575 69807925 125654265 209423775 628271325