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150548064 = 25323411663
BaseRepresentation
bin10001111100100…
…10111001100000
3101111021122010020
420332102321200
5302020014224
622534433440
73505431432
oct1076227140
9344248106
10150548064
1177a86a97
1242502880
13252614c4
1415dcc652
15d33bc79
hex8f92e60

150548064 has 96 divisors (see below), whose sum is σ = 422682624. Its totient is φ = 46801920.

The previous prime is 150548063. The next prime is 150548089. The reversal of 150548064 is 460845051.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150548063) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 89697 + ... + 91359.

It is an arithmetic number, because the mean of its divisors is an integer number (4402944).

Almost surely, 2150548064 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 150548064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211341312).

150548064 is an abundant number, since it is smaller than the sum of its proper divisors (272134560).

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

150548064 is a wasteful number, since it uses less digits than its factorization.

150548064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1740 (or 1732 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 150548064 is about 12269.8029324028. The cubic root of 150548064 is about 531.9756146133.

The spelling of 150548064 in words is "one hundred fifty million, five hundred forty-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 41 46 48 69 82 92 96 123 138 164 184 246 276 328 368 492 552 656 736 943 984 1104 1312 1663 1886 1968 2208 2829 3326 3772 3936 4989 5658 6652 7544 9978 11316 13304 15088 19956 22632 26608 30176 38249 39912 45264 53216 68183 76498 79824 90528 114747 136366 152996 159648 204549 229494 272732 305992 409098 458988 545464 611984 818196 917976 1090928 1223968 1568209 1636392 1835952 2181856 3136418 3272784 3671904 4704627 6272836 6545568 9409254 12545672 18818508 25091344 37637016 50182688 75274032 150548064