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150419808 = 253372111719
BaseRepresentation
bin10001111011100…
…11100101100000
3101111001010012000
420331303211200
5302001413213
622532004000
73504355500
oct1075634540
9344033160
10150419808
11779a96a0
1242460600
1325218006
1415d97a00
15d313c73
hex8f73960

150419808 has 576 divisors, whose sum is σ = 620524800. Its totient is φ = 34836480.

The previous prime is 150419771. The next prime is 150419809. The reversal of 150419808 is 808914051.

150419808 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1504198082 = 45252237277513728, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150419809) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7916823 + ... + 7916841.

It is an arithmetic number, because the mean of its divisors is an integer number (1077300).

Almost surely, 2150419808 is an apocalyptic number.

150419808 is a gapful number since it is divisible by the number (18) 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 150419808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310262400).

150419808 is an abundant number, since it is smaller than the sum of its proper divisors (470104992).

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

150419808 is a wasteful number, since it uses less digits than its factorization.

150419808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 150419808 is about 12264.5753289708. The cubic root of 150419808 is about 531.8245035170.

It can be divided in two parts, 1504 and 19808, that added together give a palindrome (21312).

The spelling of 150419808 in words is "one hundred fifty million, four hundred nineteen thousand, eight hundred eight".