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462997420 = 225412692099
BaseRepresentation
bin11011100110001…
…100011110101100
31012021012201001121
4123212030132230
51422011404140
6113535350324
714321261464
oct3346143654
91167181047
10462997420
112183938a6
1210b0823a4
1374bca992
14456c2ba4
152a9a964a
hex1b98c7ac

462997420 has 48 divisors (see below), whose sum is σ = 1000188000. Its totient is φ = 179924480.

The previous prime is 462997411. The next prime is 462997427. The reversal of 462997420 is 24799264.

It is a super-2 number, since 2×4629974202 = 428733221853312800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (462997427) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 219531 + ... + 221629.

It is an arithmetic number, because the mean of its divisors is an integer number (20837250).

Almost surely, 2462997420 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 462997420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500094000).

462997420 is an abundant number, since it is smaller than the sum of its proper divisors (537190580).

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

462997420 is a wasteful number, since it uses less digits than its factorization.

462997420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2418 (or 2416 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 43.

The square root of 462997420 is about 21517.3748398823. The cubic root of 462997420 is about 773.6173307071.

The spelling of 462997420 in words is "four hundred sixty-two million, nine hundred ninety-seven thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 41 82 164 205 269 410 538 820 1076 1345 2099 2690 4198 5380 8396 10495 11029 20990 22058 41980 44116 55145 86059 110290 172118 220580 344236 430295 564631 860590 1129262 1721180 2258524 2823155 5646310 11292620 23149871 46299742 92599484 115749355 231498710 462997420