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148072608 = 25322917729
BaseRepresentation
bin10001101001101…
…10100010100000
3101022121212102200
420310312202200
5300401310413
622405413200
73445411365
oct1064664240
9338555380
10148072608
1176646162
124170a200
13248a5838
141594646c
15ceed573
hex8d368a0

148072608 has 72 divisors (see below), whose sum is σ = 435626100. Its totient is φ = 47652864.

The previous prime is 148072549. The next prime is 148072621. The reversal of 148072608 is 806270841.

148072608 is a `hidden beast` number, since 1 + 48 + 0 + 7 + 2 + 608 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 146603664 + 1468944 = 12108^2 + 1212^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 513 + ... + 17216.

Almost surely, 2148072608 is an apocalyptic number.

148072608 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 148072608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217813050).

148072608 is an abundant number, since it is smaller than the sum of its proper divisors (287553492).

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

148072608 is a wasteful number, since it uses less digits than its factorization.

148072608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17774 (or 17763 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 148072608 is about 12168.5088650993. The cubic root of 148072608 is about 529.0437343164.

It can be divided in two parts, 1480 and 72608, that added together give a cube (74088 = 423).

The spelling of 148072608 in words is "one hundred forty-eight million, seventy-two thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 72 87 96 116 144 174 232 261 288 348 464 522 696 928 1044 1392 2088 2784 4176 8352 17729 35458 53187 70916 106374 141832 159561 212748 283664 319122 425496 514141 567328 638244 850992 1028282 1276488 1542423 1701984 2056564 2552976 3084846 4113128 4627269 5105952 6169692 8226256 9254538 12339384 16452512 18509076 24678768 37018152 49357536 74036304 148072608