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145776648 = 23341148147
BaseRepresentation
bin10001011000001…
…10000000001000
3101011022012222010
420230012000020
5244304323043
622244255520
73420036543
oct1054060010
9334265863
10145776648
1175318176
12409a15a0
1324280794
141550985a
15cbe8133
hex8b06008

145776648 has 32 divisors (see below), whose sum is σ = 373332960. Its totient is φ = 47406720.

The previous prime is 145776647. The next prime is 145776677. The reversal of 145776648 is 846677541.

145776648 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1457766482 = 42501662204231808, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 145776597 and 145776606.

It is not an unprimeable number, because it can be changed into a prime (145776643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73090 + ... + 75057.

It is an arithmetic number, because the mean of its divisors is an integer number (11666655).

Almost surely, 2145776648 is an apocalyptic number.

It is an amenable number.

145776648 is an abundant number, since it is smaller than the sum of its proper divisors (227556312).

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

145776648 is a wasteful number, since it uses less digits than its factorization.

145776648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148197 (or 148193 counting only the distinct ones).

The product of its digits is 1128960, while the sum is 48.

The square root of 145776648 is about 12073.8000646027. The cubic root of 145776648 is about 526.2950919285.

The spelling of 145776648 in words is "one hundred forty-five million, seven hundred seventy-six thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 24 41 82 123 164 246 328 492 984 148147 296294 444441 592588 888882 1185176 1777764 3555528 6074027 12148054 18222081 24296108 36444162 48592216 72888324 145776648