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468536048 = 24172195333
BaseRepresentation
bin11011111011010…
…100101011110000
31012122122002121222
4123323110223300
51424421123143
6114254204212
714416330211
oct3373245360
91178562558
10468536048
11220527082
12110ab3668
13760b9986
1446325408
152b200768
hex1bed4af0

468536048 has 60 divisors (see below), whose sum is σ = 1015273560. Its totient is φ = 208843776.

The previous prime is 468536039. The next prime is 468536083. The reversal of 468536048 is 840635864.

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 11 ways as a sum of consecutive naturals, for example, 85190 + ... + 90522.

It is an arithmetic number, because the mean of its divisors is an integer number (16921226).

Almost surely, 2468536048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 468536048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507636780).

468536048 is an abundant number, since it is smaller than the sum of its proper divisors (546737512).

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

468536048 is a wasteful number, since it uses less digits than its factorization.

468536048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5394 (or 5371 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 44.

The square root of 468536048 is about 21645.6935208831. The cubic root of 468536048 is about 776.6899220832.

The spelling of 468536048 in words is "four hundred sixty-eight million, five hundred thirty-six thousand, forty-eight".

Divisors: 1 2 4 8 16 17 19 34 38 68 76 136 152 272 289 304 323 578 646 1156 1292 2312 2584 4624 5168 5333 5491 10666 10982 21332 21964 42664 43928 85328 87856 90661 101327 181322 202654 362644 405308 725288 810616 1450576 1541237 1621232 1722559 3082474 3445118 6164948 6890236 12329896 13780472 24659792 27560944 29283503 58567006 117134012 234268024 468536048