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148097552 = 24192359359
BaseRepresentation
bin10001101001111…
…00101000010000
3101022200010122112
420310330220100
5300403110202
622410124452
73445544201
oct1064745020
9338603575
10148097552
1176662979
1241720728
13248b3cb5
14159515a8
15d005b52
hex8d3ca10

148097552 has 80 divisors (see below), whose sum is σ = 321408000. Its totient is φ = 65780352.

The previous prime is 148097539. The next prime is 148097567. The reversal of 148097552 is 255790841.

148097552 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 412349 + ... + 412707.

It is an arithmetic number, because the mean of its divisors is an integer number (4017600).

Almost surely, 2148097552 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 148097552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160704000).

148097552 is an abundant number, since it is smaller than the sum of its proper divisors (173310448).

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

148097552 is a wasteful number, since it uses less digits than its factorization.

148097552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 41.

The square root of 148097552 is about 12169.5337626386. The cubic root of 148097552 is about 529.0734398465.

The spelling of 148097552 in words is "one hundred forty-eight million, ninety-seven thousand, five hundred fifty-two".

Divisors: 1 2 4 8 16 19 23 38 46 59 76 92 118 152 184 236 304 359 368 437 472 718 874 944 1121 1357 1436 1748 2242 2714 2872 3496 4484 5428 5744 6821 6992 8257 8968 10856 13642 16514 17936 21181 21712 25783 27284 33028 42362 51566 54568 66056 84724 103132 109136 132112 156883 169448 206264 313766 338896 402439 412528 487163 627532 804878 974326 1255064 1609756 1948652 2510128 3219512 3897304 6439024 7794608 9256097 18512194 37024388 74048776 148097552