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150379512 = 233311071889
BaseRepresentation
bin10001111011010…
…01101111111000
3101110222001220120
420331221233320
5301444121022
622531053240
73504130143
oct1075515770
9343861816
10150379512
1177981398
1242441220
132520287a
1415d8705a
15d306d5c
hex8f69bf8

150379512 has 64 divisors (see below), whose sum is σ = 391910400. Its totient is φ = 48030720.

The previous prime is 150379477. The next prime is 150379531. The reversal of 150379512 is 215973051.

150379512 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1503795122 = 45227995258716288, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78664 + ... + 80552.

It is an arithmetic number, because the mean of its divisors is an integer number (6123600).

Almost surely, 2150379512 is an apocalyptic number.

150379512 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 150379512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195955200).

150379512 is an abundant number, since it is smaller than the sum of its proper divisors (241530888).

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

150379512 is a wasteful number, since it uses less digits than its factorization.

150379512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2036 (or 2032 counting only the distinct ones).

The product of its (nonzero) digits is 9450, while the sum is 33.

The square root of 150379512 is about 12262.9324388582. The cubic root of 150379512 is about 531.7770090759. Note that the first 3 decimals are identical.

The spelling of 150379512 in words is "one hundred fifty million, three hundred seventy-nine thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 107 124 186 214 248 321 372 428 642 744 856 1284 1889 2568 3317 3778 5667 6634 7556 9951 11334 13268 15112 19902 22668 26536 39804 45336 58559 79608 117118 175677 202123 234236 351354 404246 468472 606369 702708 808492 1212738 1405416 1616984 2425476 4850952 6265813 12531626 18797439 25063252 37594878 50126504 75189756 150379512