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627903364 = 22112172672
BaseRepresentation
bin100101011011010…
…000101110000100
31121202111210111011
4211123100232010
52241220401424
6142150052004
721363043024
oct4533205604
91552453434
10627903364
112a2487100
1215634a004
13a011846a
145d56ba84
153a1d0694
hex256d0b84

627903364 has 81 divisors (see below), whose sum is σ = 1302468069. Its totient is φ = 264612480.

The previous prime is 627903343. The next prime is 627903379. The reversal of 627903364 is 463309726.

The square root of 627903364 is 25058.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 488852100 + 139051264 = 22110^2 + 11792^2 .

It is a Duffinian number.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 9371659 + ... + 9371725.

Almost surely, 2627903364 is an apocalyptic number.

627903364 is the 25058-th square number.

It is an amenable number.

627903364 is an abundant number, since it is smaller than the sum of its proper divisors (674564705).

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

627903364 is a wasteful number, since it uses less digits than its factorization.

627903364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 40.

The cubic root of 627903364 is about 856.3098439428.

The spelling of 627903364 in words is "six hundred twenty-seven million, nine hundred three thousand, three hundred sixty-four".

Divisors: 1 2 4 11 17 22 34 44 67 68 121 134 187 242 268 289 374 484 578 737 748 1139 1156 1474 2057 2278 2948 3179 4114 4489 4556 6358 8107 8228 8978 12529 12716 16214 17956 19363 25058 32428 34969 38726 49379 50116 69938 76313 77452 98758 137819 139876 152626 197516 212993 275638 305252 425986 543169 551276 839443 851972 1086338 1297321 1678886 2172676 2342923 2594642 3357772 4685846 5189284 9233873 9371692 14270531 18467746 28541062 36935492 57082124 156975841 313951682 627903364