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146400849 = 3272323823
BaseRepresentation
bin10001011100111…
…10011001010001
3101012110221012200
420232132121101
5244434311344
622305513413
73425246430
oct1056363121
9335427180
10146400849
1175704141
1241042869
132443b92a
141562d117
15ccbd069
hex8b9e651

146400849 has 12 divisors (see below), whose sum is σ = 241677696. Its totient is φ = 83657592.

The previous prime is 146400847. The next prime is 146400851. The reversal of 146400849 is 948004641.

It is a happy number.

146400849 is a `hidden beast` number, since 1 + 4 + 640 + 0 + 8 + 4 + 9 = 666.

146400849 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (146400847) and next prime (146400851).

It is not a de Polignac number, because 146400849 - 21 = 146400847 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (146400847) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1161849 + ... + 1161974.

It is an arithmetic number, because the mean of its divisors is an integer number (20139808).

Almost surely, 2146400849 is an apocalyptic number.

It is an amenable number.

146400849 is a deficient number, since it is larger than the sum of its proper divisors (95276847).

146400849 is a wasteful number, since it uses less digits than its factorization.

146400849 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2323836 (or 2323833 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 146400849 is about 12099.6218535953. The cubic root of 146400849 is about 527.0452032610.

The spelling of 146400849 in words is "one hundred forty-six million, four hundred thousand, eight hundred forty-nine".

Divisors: 1 3 7 9 21 63 2323823 6971469 16266761 20914407 48800283 146400849