[go: up one dir, main page]

Search a number
-
+
465227540 = 225193173541
BaseRepresentation
bin11011101110101…
…100111100010100
31012102102000012122
4123232230330110
51423044240130
6114055235112
714346240341
oct3356547424
91172360178
10465227540
11219677378
1210b978a98
13754cba8b
1445b037c8
152ac9a2e5
hex1bbacf14

465227540 has 96 divisors (see below), whose sum is σ = 1078103040. Its totient is φ = 167961600.

The previous prime is 465227531. The next prime is 465227557. The reversal of 465227540 is 45722564.

It is a self number, because there is not a number n which added to its sum of digits gives 465227540.

It is a congruent number.

It is an unprimeable number.

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, 859670 + ... + 860210.

It is an arithmetic number, because the mean of its divisors is an integer number (11230240).

Almost surely, 2465227540 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 465227540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539051520).

465227540 is an abundant number, since it is smaller than the sum of its proper divisors (612875500).

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

465227540 is a wasteful number, since it uses less digits than its factorization.

465227540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 35.

The square root of 465227540 is about 21569.1339649973. The cubic root of 465227540 is about 774.8574361421.

The spelling of 465227540 in words is "four hundred sixty-five million, two hundred twenty-seven thousand, five hundred forty".

Divisors: 1 2 4 5 10 19 20 31 38 62 73 76 95 124 146 155 190 292 310 365 380 541 589 620 730 1082 1178 1387 1460 2164 2263 2356 2705 2774 2945 4526 5410 5548 5890 6935 9052 10279 10820 11315 11780 13870 16771 20558 22630 27740 33542 39493 41116 42997 45260 51395 67084 78986 83855 85994 102790 157972 167710 171988 197465 205580 214985 318649 335420 394930 429970 637298 750367 789860 859940 1224283 1274596 1500734 1593245 2448566 3001468 3186490 3751835 4897132 6121415 6372980 7503670 12242830 15007340 23261377 24485660 46522754 93045508 116306885 232613770 465227540