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148606848 = 2732139923
BaseRepresentation
bin10001101101110…
…00111110000000
3101100122000021100
420312320332000
5301020404343
622425054400
73453065055
oct1066707600
9340560240
10148606848
1176980585
1241927400
1324a31a60
1415a4502c
15d0a69d3
hex8db8f80

148606848 has 96 divisors (see below), whose sum is σ = 460572840. Its totient is φ = 45720576.

The previous prime is 148606831. The next prime is 148606853. The reversal of 148606848 is 848606841.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10015 + ... + 19937.

Almost surely, 2148606848 is an apocalyptic number.

148606848 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 148606848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230286420).

148606848 is an abundant number, since it is smaller than the sum of its proper divisors (311965992).

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

148606848 is a wasteful number, since it uses less digits than its factorization.

148606848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9956 (or 9941 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 148606848 is about 12190.4408451869. The cubic root of 148606848 is about 529.6792268058.

The spelling of 148606848 in words is "one hundred forty-eight million, six hundred six thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 288 312 384 416 468 576 624 832 936 1152 1248 1664 1872 2496 3744 4992 7488 9923 14976 19846 29769 39692 59538 79384 89307 119076 128999 158768 178614 238152 257998 317536 357228 386997 476304 515996 635072 714456 773994 952608 1031992 1160991 1270144 1428912 1547988 1905216 2063984 2321982 2857824 3095976 3810432 4127968 4643964 5715648 6191952 8255936 9287928 11431296 12383904 16511872 18575856 24767808 37151712 49535616 74303424 148606848