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627041712 = 2431129311321
BaseRepresentation
bin100101010111111…
…110010110110000
31121200220000112010
4211113332112300
52241010313322
6142115402520
721352523643
oct4527762660
91550800463
10627041712
112a1a487a0
12155bb3440
139cba61cb
145d3c5a5a
153a0b020c
hex255fe5b0

627041712 has 160 divisors (see below), whose sum is σ = 1888450560. Its totient is φ = 177408000.

The previous prime is 627041689. The next prime is 627041713. The reversal of 627041712 is 217140726.

It is a self number, because there is not a number n which added to its sum of digits gives 627041712.

It is not an unprimeable number, because it can be changed into a prime (627041713) 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, 474012 + ... + 475332.

It is an arithmetic number, because the mean of its divisors is an integer number (11802816).

Almost surely, 2627041712 is an apocalyptic number.

627041712 is a gapful number since it is divisible by the number (62) 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 627041712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (944225280).

627041712 is an abundant number, since it is smaller than the sum of its proper divisors (1261408848).

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

627041712 is a wasteful number, since it uses less digits than its factorization.

627041712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1403 (or 1397 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 627041712 is about 25040.8009456567. The cubic root of 627041712 is about 855.9179689639.

The spelling of 627041712 in words is "six hundred twenty-seven million, forty-one thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 29 31 33 44 48 58 62 66 87 88 93 116 124 132 174 176 186 232 248 264 319 341 348 372 464 496 528 638 682 696 744 899 957 1023 1276 1321 1364 1392 1488 1798 1914 2046 2552 2642 2697 2728 3596 3828 3963 4092 5104 5284 5394 5456 7192 7656 7926 8184 9889 10568 10788 14384 14531 15312 15852 16368 19778 21136 21576 29062 29667 31704 38309 39556 40951 43152 43593 58124 59334 63408 76618 79112 81902 87186 114927 116248 118668 122853 153236 158224 163804 174372 229854 232496 237336 245706 306472 327608 348744 421399 450461 459708 474672 491412 612944 655216 697488 842798 900922 919416 982824 1187579 1264197 1351383 1685596 1801844 1838832 1965648 2375158 2528394 2702766 3371192 3562737 3603688 4750316 5056788 5405532 6742384 7125474 7207376 9500632 10113576 10811064 13063369 14250948 19001264 20227152 21622128 26126738 28501896 39190107 52253476 57003792 78380214 104506952 156760428 209013904 313520856 627041712