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150064452 = 223237113997
BaseRepresentation
bin10001111000111…
…00110101000100
3101110101001201200
420330130311010
5301404030302
622520222500
73501345456
oct1074346504
9343331650
10150064452
117778670a
124230aa30
1325122345
1415d042d6
15d29381c
hex8f1cd44

150064452 has 72 divisors (see below), whose sum is σ = 393423576. Its totient is φ = 48190464.

The previous prime is 150064433. The next prime is 150064493. The reversal of 150064452 is 254460051.

150064452 is a `hidden beast` number, since 15 + 0 + 0 + 644 + 5 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 33942276 + 116122176 = 5826^2 + 10776^2 .

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 23 ways as a sum of consecutive naturals, for example, 150018 + ... + 151014.

Almost surely, 2150064452 is an apocalyptic number.

150064452 is a gapful number since it is divisible by the number (12) 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 150064452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196711788).

150064452 is an abundant number, since it is smaller than the sum of its proper divisors (243359124).

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

150064452 is a wasteful number, since it uses less digits than its factorization.

150064452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1157 (or 1152 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 150064452 is about 12250.0796732103. The cubic root of 150064452 is about 531.4053742166.

The spelling of 150064452 in words is "one hundred fifty million, sixty-four thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 113 148 222 226 333 339 444 452 666 678 997 1017 1332 1356 1994 2034 2991 3988 4068 4181 5982 8362 8973 11964 12543 16724 17946 25086 35892 36889 37629 50172 73778 75258 110667 112661 147556 150516 221334 225322 332001 337983 442668 450644 664002 675966 1013949 1328004 1351932 2027898 4055796 4168457 8336914 12505371 16673828 25010742 37516113 50021484 75032226 150064452