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465323144 = 2311133113121
BaseRepresentation
bin11011101111000…
…100010010001000
31012102120212100112
4123233010102020
51423110320034
6114101253452
714350116146
oct3357042210
91172525315
10465323144
11219732190
1210ba04288
1375533450
1445b2a596
152acb87ce
hex1bbc4488

465323144 has 64 divisors (see below), whose sum is σ = 1058158080. Its totient is φ = 188928000.

The previous prime is 465323141. The next prime is 465323179. The reversal of 465323144 is 441323564.

It is a self number, because there is not a number n which added to its sum of digits gives 465323144.

It is not an unprimeable number, because it can be changed into a prime (465323141) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 28904 + ... + 42024.

It is an arithmetic number, because the mean of its divisors is an integer number (16533720).

Almost surely, 2465323144 is an apocalyptic number.

465323144 is a gapful number since it is divisible by the number (44) 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 465323144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529079040).

465323144 is an abundant number, since it is smaller than the sum of its proper divisors (592834936).

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

465323144 is a wasteful number, since it uses less digits than its factorization.

465323144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13182 (or 13178 counting only the distinct ones).

The product of its digits is 34560, while the sum is 32.

The square root of 465323144 is about 21571.3500736509. The cubic root of 465323144 is about 774.9105100970.

The spelling of 465323144 in words is "four hundred sixty-five million, three hundred twenty-three thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 13 22 26 31 44 52 62 88 104 124 143 248 286 341 403 572 682 806 1144 1364 1612 2728 3224 4433 8866 13121 17732 26242 35464 52484 104968 144331 170573 288662 341146 406751 577324 682292 813502 1154648 1364584 1627004 1876303 3254008 3752606 4474261 5287763 7505212 8948522 10575526 15010424 17897044 21151052 35794088 42302104 58165393 116330786 232661572 465323144