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132828462 = 23213432307
BaseRepresentation
bin1111110101011…
…00110100101110
3100020221101101200
413322230310232
5233001002322
621102550330
73202010664
oct772546456
9306841350
10132828462
1168a83a98
12385983a6
1321699030
14138d8c34
15b9db8ac
hex7eacd2e

132828462 has 72 divisors (see below), whose sum is σ = 318342024. Its totient is φ = 39789792.

The previous prime is 132828457. The next prime is 132828481. The reversal of 132828462 is 264828231.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 35 ways as a sum of consecutive naturals, for example, 432513 + ... + 432819.

It is an arithmetic number, because the mean of its divisors is an integer number (4421417).

Almost surely, 2132828462 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132828462, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159171012).

132828462 is an abundant number, since it is smaller than the sum of its proper divisors (185513562).

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

132828462 is a wasteful number, since it uses less digits than its factorization.

132828462 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 368 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 132828462 is about 11525.1230796031. The cubic root of 132828462 is about 510.2273265691.

The spelling of 132828462 in words is "one hundred thirty-two million, eight hundred twenty-eight thousand, four hundred sixty-two".

Divisors: 1 2 3 6 9 13 18 26 39 43 78 86 117 129 234 258 307 387 559 614 774 921 1118 1677 1842 1849 2763 3354 3698 3991 5031 5526 5547 7982 10062 11094 11973 13201 16641 23946 24037 26402 33282 35919 39603 48074 71838 72111 79206 118809 144222 171613 216333 237618 343226 432666 514839 567643 1029678 1135286 1544517 1702929 3089034 3405858 5108787 7379359 10217574 14758718 22138077 44276154 66414231 132828462