Search a number
-
+
464246145 = 32511323337
BaseRepresentation
bin11011101010111…
…101010110000001
31012100120010222200
4123222331112001
51422321334040
6114022223413
714335012206
oct3352752601
91170503880
10464246145
11219067000
1210b584b69
137524717c
1445929cad
152ab54630
hex1babd581

464246145 has 96 divisors (see below), whose sum is σ = 926325504. Its totient is φ = 214663680.

The previous prime is 464246137. The next prime is 464246177. The reversal of 464246145 is 541642464.

464246145 is a `hidden beast` number, since 4 + 642 + 4 + 6 + 1 + 4 + 5 = 666.

It is not a de Polignac number, because 464246145 - 23 = 464246137 is a prime.

It is a super-2 number, since 2×4642461452 = 431048966294722050, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1377417 + ... + 1377753.

It is an arithmetic number, because the mean of its divisors is an integer number (9649224).

Almost surely, 2464246145 is an apocalyptic number.

464246145 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

464246145 is a deficient number, since it is larger than the sum of its proper divisors (462079359).

464246145 is a wasteful number, since it uses less digits than its factorization.

464246145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 379 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 464246145 is about 21546.3719683848. The cubic root of 464246145 is about 774.3122000363.

The spelling of 464246145 in words is "four hundred sixty-four million, two hundred forty-six thousand, one hundred forty-five".

Divisors: 1 3 5 9 11 15 23 33 45 55 69 99 115 121 165 207 253 337 345 363 495 605 759 1011 1035 1089 1265 1331 1685 1815 2277 2783 3033 3707 3795 3993 5055 5445 6655 7751 8349 11121 11385 11979 13915 15165 18535 19965 23253 25047 30613 33363 38755 40777 41745 55605 59895 69759 85261 91839 116265 122331 125235 153065 166815 203885 255783 275517 348795 366993 426305 448547 459195 611655 767349 937871 1278915 1345641 1377585 1834965 2242735 2813613 3836745 4036923 4689355 6728205 8440839 10316581 14068065 20184615 30949743 42204195 51582905 92849229 154748715 464246145