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468231444 = 223213739473
BaseRepresentation
bin11011111010001…
…010010100010100
31012122001121210100
4123322022110110
51424331401234
6114243454100
714413621152
oct3372122424
91178047710
10468231444
1122033923a
12110987330
1376011135
14462863d2
152b190399
hex1be8a514

468231444 has 36 divisors (see below), whose sum is σ = 1184572116. Its totient is φ = 155947008.

The previous prime is 468231397. The next prime is 468231473. The reversal of 468231444 is 444132864.

It can be written as a sum of positive squares in 2 ways, for example, as 459587844 + 8643600 = 21438^2 + 2940^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 468231399 and 468231408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44692 + ... + 54164.

It is an arithmetic number, because the mean of its divisors is an integer number (32904781).

Almost surely, 2468231444 is an apocalyptic number.

It is an amenable number.

468231444 is an abundant number, since it is smaller than the sum of its proper divisors (716340672).

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

468231444 is a wasteful number, since it uses less digits than its factorization.

468231444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10856 (or 10851 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The square root of 468231444 is about 21638.6562429371. The cubic root of 468231444 is about 776.5215720736.

The spelling of 468231444 in words is "four hundred sixty-eight million, two hundred thirty-one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 1373 2746 4119 5492 8238 9473 12357 16476 18946 24714 28419 37892 49428 56838 85257 113676 170514 341028 13006429 26012858 39019287 52025716 78038574 117057861 156077148 234115722 468231444