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146401812 = 22327395503
BaseRepresentation
bin10001011100111…
…10101000010100
3101012110222112100
420232132220110
5244434324222
622305522100
73425252304
oct1056365024
9335428470
10146401812
1175704937
1241043330
132443c1bb
141562d604
15ccbd4ac
hex8b9ea14

146401812 has 36 divisors (see below), whose sum is σ = 370639360. Its totient is φ = 48725712.

The previous prime is 146401793. The next prime is 146401813. The reversal of 146401812 is 218104641.

It is a happy number.

146401812 is a `hidden beast` number, since 1 + 4 + 640 + 1 + 8 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146401813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23853 + ... + 29355.

Almost surely, 2146401812 is an apocalyptic number.

146401812 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

146401812 is an abundant number, since it is smaller than the sum of its proper divisors (224237548).

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

146401812 is a wasteful number, since it uses less digits than its factorization.

146401812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6252 (or 6247 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 146401812 is about 12099.6616481619. The cubic root of 146401812 is about 527.0463588631.

The spelling of 146401812 in words is "one hundred forty-six million, four hundred one thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 739 1478 2217 2956 4434 5503 6651 8868 11006 13302 16509 22012 26604 33018 49527 66036 99054 198108 4066717 8133434 12200151 16266868 24400302 36600453 48800604 73200906 146401812