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627690480 = 243531239353
BaseRepresentation
bin100101011010011…
…100101111110000
31121202002222110120
4211122130233300
52241142043410
6142141330240
721361165254
oct4532345760
91552088416
10627690480
112a235116a
12156266980
13a00725b1
145d514264
153a18c570
hex2569cbf0

627690480 has 160 divisors (see below), whose sum is σ = 2022727680. Its totient is φ = 160849920.

The previous prime is 627690467. The next prime is 627690487. The reversal of 627690480 is 84096726.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (627690487) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1777984 + ... + 1778336.

It is an arithmetic number, because the mean of its divisors is an integer number (12642048).

Almost surely, 2627690480 is an apocalyptic number.

627690480 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 627690480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1011363840).

627690480 is an abundant number, since it is smaller than the sum of its proper divisors (1395037200).

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

627690480 is a wasteful number, since it uses less digits than its factorization.

627690480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 627690480 is about 25053.7518148480. The cubic root of 627690480 is about 856.2130587362.

The spelling of 627690480 in words is "six hundred twenty-seven million, six hundred ninety thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 155 186 239 240 248 310 353 372 465 478 496 620 706 717 744 930 956 1059 1195 1240 1412 1434 1488 1765 1860 1912 2118 2390 2480 2824 2868 3530 3585 3720 3824 4236 4780 5295 5648 5736 7060 7170 7409 7440 8472 9560 10590 10943 11472 14120 14340 14818 16944 19120 21180 21886 22227 28240 28680 29636 32829 37045 42360 43772 44454 54715 57360 59272 65658 74090 84367 84720 87544 88908 109430 111135 118544 131316 148180 164145 168734 175088 177816 218860 222270 253101 262632 296360 328290 337468 355632 421835 437720 444540 506202 525264 592720 656580 674936 843670 875440 889080 1012404 1265505 1313160 1349872 1687340 1778160 2024808 2531010 2615377 2626320 3374680 4049616 5062020 5230754 6749360 7846131 10124040 10461508 13076885 15692262 20248080 20923016 26153770 31384524 39230655 41846032 52307540 62769048 78461310 104615080 125538096 156922620 209230160 313845240 627690480