Search a number
-
+
400313532 = 223149241929
BaseRepresentation
bin10111110111000…
…100110010111100
31000220021000221010
4113313010302330
51304440013112
6103420035220
712630415563
oct2767046274
91026230833
10400313532
11195a6a533
12b2092b10
1364c21218
143b246bda
152522663c
hex17dc4cbc

400313532 has 48 divisors (see below), whose sum is σ = 945252000. Its totient is φ = 131850240.

The previous prime is 400313521. The next prime is 400313539. The reversal of 400313532 is 235313004.

It is a junction number, because it is equal to n+sod(n) for n = 400313499 and 400313508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400313539) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 430444 + ... + 431372.

It is an arithmetic number, because the mean of its divisors is an integer number (19692750).

Almost surely, 2400313532 is an apocalyptic number.

It is an amenable number.

400313532 is an abundant number, since it is smaller than the sum of its proper divisors (544938468).

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

400313532 is a wasteful number, since it uses less digits than its factorization.

400313532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1326 (or 1324 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 400313532 is about 20007.8367646280. The cubic root of 400313532 is about 736.9987597455.

Adding to 400313532 its reverse (235313004), we get a palindrome (635626536).

The spelling of 400313532 in words is "four hundred million, three hundred thirteen thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 12 149 241 298 447 482 596 723 894 929 964 1446 1788 1858 2787 2892 3716 5574 11148 35909 71818 107727 138421 143636 215454 223889 276842 415263 430908 447778 553684 671667 830526 895556 1343334 1661052 2686668 33359461 66718922 100078383 133437844 200156766 400313532