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468146532 = 223722924337
BaseRepresentation
bin11011111001110…
…101100101100100
31012121220022022110
4123321311211210
51424321142112
6114242001020
714413115460
oct3371654544
91177808273
10468146532
11220290467
12110946170
1375cb15a9
14462634a0
152b17513c
hex1be75964

468146532 has 48 divisors (see below), whose sum is σ = 1253893760. Its totient is φ = 133166592.

The previous prime is 468146521. The next prime is 468146557. The reversal of 468146532 is 235641864.

It is a super-2 number, since 2×4681465322 = 438322350847254048, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 7068 + ... + 31404.

Almost surely, 2468146532 is an apocalyptic number.

468146532 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

468146532 is an abundant number, since it is smaller than the sum of its proper divisors (785747228).

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

468146532 is a wasteful number, since it uses less digits than its factorization.

468146532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24580 (or 24578 counting only the distinct ones).

The product of its digits is 138240, while the sum is 39.

The square root of 468146532 is about 21636.6941097756. The cubic root of 468146532 is about 776.4746294866.

The spelling of 468146532 in words is "four hundred sixty-eight million, one hundred forty-six thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 229 458 687 916 1374 1603 2748 3206 4809 6412 9618 19236 24337 48674 73011 97348 146022 170359 292044 340718 511077 681436 1022154 2044308 5573173 11146346 16719519 22292692 33439038 39012211 66878076 78024422 117036633 156048844 234073266 468146532