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468000100 = 22524680001
BaseRepresentation
bin11011111001010…
…001110101100100
31012121121212110001
4123321101311210
51424302000400
6114234511044
714411635531
oct3371216544
91177555401
10468000100
112201a0447
12110895484
1375c5ca49
1446225d88
152b146a6a
hex1be51d64

468000100 has 18 divisors (see below), whose sum is σ = 1015560434. Its totient is φ = 187200000.

The previous prime is 468000079. The next prime is 468000101. The reversal of 468000100 is 1000864.

It can be written as a sum of positive squares in 3 ways, for example, as 47914084 + 420086016 = 6922^2 + 20496^2 .

It is not an unprimeable number, because it can be changed into a prime (468000101) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2339901 + ... + 2340100.

Almost surely, 2468000100 is an apocalyptic number.

It is an amenable number.

468000100 is an abundant number, since it is smaller than the sum of its proper divisors (547560334).

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

468000100 is a wasteful number, since it uses less digits than its factorization.

468000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4680015 (or 4680008 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 468000100 is about 21633.3099640346. The cubic root of 468000100 is about 776.3936629643.

Adding to 468000100 its reverse (1000864), we get a palindrome (469000964).

The spelling of 468000100 in words is "four hundred sixty-eight million, one hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 25 50 100 4680001 9360002 18720004 23400005 46800010 93600020 117000025 234000050 468000100