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150987552 = 2531639649
BaseRepresentation
bin10001111111111…
…10001100100000
3101112002221222120
420333332030200
5302123100202
622552104240
73512241642
oct1077761440
9345087876
10150987552
1178257201
1242695080
1325386561
14160a4892
15d3c70bc
hex8ffe320

150987552 has 48 divisors (see below), whose sum is σ = 398815200. Its totient is φ = 50015232.

The previous prime is 150987517. The next prime is 150987559. The reversal of 150987552 is 255789051.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (150987559) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10824 + ... + 20472.

It is an arithmetic number, because the mean of its divisors is an integer number (8308650).

Almost surely, 2150987552 is an apocalyptic number.

150987552 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 150987552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199407600).

150987552 is an abundant number, since it is smaller than the sum of its proper divisors (247827648).

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

150987552 is a wasteful number, since it uses less digits than its factorization.

150987552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9825 (or 9817 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 42.

The square root of 150987552 is about 12287.6992150687. The cubic root of 150987552 is about 532.4927689732.

The spelling of 150987552 in words is "one hundred fifty million, nine hundred eighty-seven thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 163 326 489 652 978 1304 1956 2608 3912 5216 7824 9649 15648 19298 28947 38596 57894 77192 115788 154384 231576 308768 463152 926304 1572787 3145574 4718361 6291148 9436722 12582296 18873444 25164592 37746888 50329184 75493776 150987552