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462112056 = 233274321323
BaseRepresentation
bin11011100010110…
…100010100111000
31012012112201120100
4123202310110320
51421300041211
6113504355400
714310613320
oct3342642470
91165481510
10462112056
1121793969a
1210a915b60
137497a9b3
1445532280
152a882156
hex1b8b4538

462112056 has 96 divisors (see below), whose sum is σ = 1463679360. Its totient is φ = 128955456.

The previous prime is 462112051. The next prime is 462112061. The reversal of 462112056 is 650211264.

It is an interprime number because it is at equal distance from previous prime (462112051) and next prime (462112061).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (462112051) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11011 + ... + 32333.

It is an arithmetic number, because the mean of its divisors is an integer number (15246660).

Almost surely, 2462112056 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 462112056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731839680).

462112056 is an abundant number, since it is smaller than the sum of its proper divisors (1001567304).

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

462112056 is a wasteful number, since it uses less digits than its factorization.

462112056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21385 (or 21378 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 462112056 is about 21496.7917606326. The cubic root of 462112056 is about 773.1239010425.

The spelling of 462112056 in words is "four hundred sixty-two million, one hundred twelve thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 43 56 63 72 84 86 126 129 168 172 252 258 301 344 387 504 516 602 774 903 1032 1204 1548 1806 2408 2709 3096 3612 5418 7224 10836 21323 21672 42646 63969 85292 127938 149261 170584 191907 255876 298522 383814 447783 511752 597044 767628 895566 916889 1194088 1343349 1535256 1791132 1833778 2686698 2750667 3582264 3667556 5373396 5501334 6418223 7335112 8252001 10746792 11002668 12836446 16504002 19254669 22005336 25672892 33008004 38509338 51345784 57764007 66016008 77018676 115528014 154037352 231056028 462112056