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146632644 = 22324073129
BaseRepresentation
bin10001011110101…
…10111111000100
3101012220201011200
420233112333010
5300014221034
622314502500
73430233264
oct1057267704
9335821150
10146632644
1175852304
1241134a30
13244c02a2
141568d7a4
15cd16a99
hex8bd6fc4

146632644 has 18 divisors (see below), whose sum is σ = 370654830. Its totient is φ = 48877536.

The previous prime is 146632643. The next prime is 146632657. The reversal of 146632644 is 446236641.

146632644 is a `hidden beast` number, since 1 + 4 + 6 + 6 + 3 + 2 + 644 = 666.

It can be written as a sum of positive squares in only one way, i.e., 97772544 + 48860100 = 9888^2 + 6990^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×1466326442 = 43002264572861472, which contains 22 as substring.

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 a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 4073129 = 146632644 / (1 + 4 + 6 + 6 + 3 + 2 + 6 + 4 + 4).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 146632599 and 146632608.

It is not an unprimeable number, because it can be changed into a prime (146632643) 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, 2036529 + ... + 2036600.

It is an arithmetic number, because the mean of its divisors is an integer number (20591935).

Almost surely, 2146632644 is an apocalyptic number.

It is an amenable number.

146632644 is an abundant number, since it is smaller than the sum of its proper divisors (224022186).

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

146632644 is a wasteful number, since it uses less digits than its factorization.

146632644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4073139 (or 4073134 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 146632644 is about 12109.1966702998. The cubic root of 146632644 is about 527.3232117229.

The spelling of 146632644 in words is "one hundred forty-six million, six hundred thirty-two thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 4073129 8146258 12219387 16292516 24438774 36658161 48877548 73316322 146632644