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148673408 = 2713471901
BaseRepresentation
bin10001101110010…
…01001110000000
3101100202101120112
420313021032000
5301030022113
622430330452
73453463112
oct1067111600
9340671515
10148673408
1176a16594
1241959a28
1324a56140
1415a613b2
15d0bb5a8
hex8dc9380

148673408 has 64 divisors (see below), whose sum is σ = 325926720. Its totient is φ = 67123200.

The previous prime is 148673407. The next prime is 148673411. The reversal of 148673408 is 804376841.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148673407) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 77258 + ... + 79158.

It is an arithmetic number, because the mean of its divisors is an integer number (5092605).

Almost surely, 2148673408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 148673408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162963360).

148673408 is an abundant number, since it is smaller than the sum of its proper divisors (177253312).

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

148673408 is a wasteful number, since it uses less digits than its factorization.

148673408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1975 (or 1963 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 41.

The square root of 148673408 is about 12193.1705474827. The cubic root of 148673408 is about 529.7582949142.

The spelling of 148673408 in words is "one hundred forty-eight million, six hundred seventy-three thousand, four hundred eight".

Divisors: 1 2 4 8 13 16 26 32 47 52 64 94 104 128 188 208 376 416 611 752 832 1222 1504 1664 1901 2444 3008 3802 4888 6016 7604 9776 15208 19552 24713 30416 39104 49426 60832 78208 89347 98852 121664 178694 197704 243328 357388 395408 714776 790816 1161511 1429552 1581632 2323022 2859104 3163264 4646044 5718208 9292088 11436416 18584176 37168352 74336704 148673408