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150438546 = 2347312721
BaseRepresentation
bin10001111011110…
…00001010010010
3101111002001220000
420331320022102
5302003013141
622532230430
73504464226
oct1075701222
9344061800
10150438546
1177a11785
124246b416
13252236bb
1415da0786
15d3195b6
hex8f78292

150438546 has 40 divisors (see below), whose sum is σ = 341738364. Its totient is φ = 49455360.

The previous prime is 150438529. The next prime is 150438571. The reversal of 150438546 is 645834051.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 141348321 + 9090225 = 11889^2 + 3015^2 .

It is a super-2 number, since 2×1504385462 = 45263512245188232, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 150438546.

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 19 ways as a sum of consecutive naturals, for example, 5466 + ... + 18186.

Almost surely, 2150438546 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150438546, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170869182).

150438546 is an abundant number, since it is smaller than the sum of its proper divisors (191299818).

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

150438546 is a wasteful number, since it uses less digits than its factorization.

150438546 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12808 (or 12799 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 150438546 is about 12265.3392125942. The cubic root of 150438546 is about 531.8465859672.

The spelling of 150438546 in words is "one hundred fifty million, four hundred thirty-eight thousand, five hundred forty-six".

Divisors: 1 2 3 6 9 18 27 54 73 81 146 162 219 438 657 1314 1971 3942 5913 11826 12721 25442 38163 76326 114489 228978 343467 686934 928633 1030401 1857266 2060802 2785899 5571798 8357697 16715394 25073091 50146182 75219273 150438546