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150555042 = 232111993821
BaseRepresentation
bin10001111100101…
…00100110100010
3101111021222200200
420332110212202
5302020230132
622534530030
73505460661
oct1076244642
9344258620
10150555042
1177a91260
1242506916
1325264731
1415dd0dd8
15d33dd7c
hex8f949a2

150555042 has 48 divisors (see below), whose sum is σ = 357739200. Its totient is φ = 45381600.

The previous prime is 150555017. The next prime is 150555091. The reversal of 150555042 is 240555051.

150555042 is a `hidden beast` number, since 150 + 5 + 5 + 504 + 2 = 666.

150555042 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 150554997 and 150555015.

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, 37492 + ... + 41312.

It is an arithmetic number, because the mean of its divisors is an integer number (7452900).

Almost surely, 2150555042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150555042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178869600).

150555042 is an abundant number, since it is smaller than the sum of its proper divisors (207184158).

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

150555042 is a wasteful number, since it uses less digits than its factorization.

150555042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4039 (or 4036 counting only the distinct ones).

The product of its (nonzero) digits is 5000, while the sum is 27.

The square root of 150555042 is about 12270.0872857531. The cubic root of 150555042 is about 531.9838336241.

Subtracting 150555042 from its reverse (240555051), we obtain a palindrome (90000009).

The spelling of 150555042 in words is "one hundred fifty million, five hundred fifty-five thousand, forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 199 398 597 1194 1791 2189 3582 3821 4378 6567 7642 11463 13134 19701 22926 34389 39402 42031 68778 84062 126093 252186 378279 756558 760379 1520758 2281137 4562274 6843411 8364169 13686822 16728338 25092507 50185014 75277521 150555042