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627345472 = 26134761263
BaseRepresentation
bin100101011001001…
…000100001000000
31121201110110012111
4211121020201000
52241100023342
6142130105104
721355230355
oct4531104100
91551413174
10627345472
112a2135a36
1215611b194
139cc81550
145d46462c
153a120217
hex25648840

627345472 has 112 divisors (see below), whose sum is σ = 1396910592. Its totient is φ = 277678080.

The previous prime is 627345451. The next prime is 627345473. The reversal of 627345472 is 274543726.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (627345473) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2385213 + ... + 2385475.

It is an arithmetic number, because the mean of its divisors is an integer number (12472416).

Almost surely, 2627345472 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 627345472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698455296).

627345472 is an abundant number, since it is smaller than the sum of its proper divisors (769565120).

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

627345472 is a wasteful number, since it uses less digits than its factorization.

627345472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 386 counting only the distinct ones).

The product of its digits is 282240, while the sum is 40.

The square root of 627345472 is about 25046.8655124748. The cubic root of 627345472 is about 856.0561584258.

The spelling of 627345472 in words is "six hundred twenty-seven million, three hundred forty-five thousand, four hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 32 47 52 61 64 94 104 122 188 208 244 263 376 416 488 526 611 752 793 832 976 1052 1222 1504 1586 1952 2104 2444 2867 3008 3172 3419 3904 4208 4888 5734 6344 6838 8416 9776 11468 12361 12688 13676 16043 16832 19552 22936 24722 25376 27352 32086 37271 39104 45872 49444 50752 54704 64172 74542 91744 98888 109408 128344 149084 160693 183488 197776 208559 218816 256688 298168 321386 395552 417118 513376 596336 642772 754021 791104 834236 1026752 1192672 1285544 1508042 1668472 2385344 2571088 3016084 3336944 5142176 6032168 6673888 9802273 10284352 12064336 13347776 19604546 24128672 39209092 48257344 78418184 156836368 313672736 627345472