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150152548 = 227131373011
BaseRepresentation
bin10001111001100…
…10010101100100
3101110112112120111
420330302111210
5301414340143
622522142404
73502163350
oct1074622544
9343475514
10150152548
1177836917
1242351a04
1325153480
1415d28460
15d2ae99d
hex8f32564

150152548 has 48 divisors (see below), whose sum is σ = 325874304. Its totient is φ = 58947840.

The previous prime is 150152543. The next prime is 150152567. The reversal of 150152548 is 845251051.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (150152543) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 48363 + ... + 51373.

It is an arithmetic number, because the mean of its divisors is an integer number (6789048).

Almost surely, 2150152548 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150152548, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162937152).

150152548 is an abundant number, since it is smaller than the sum of its proper divisors (175721756).

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

150152548 is a wasteful number, since it uses less digits than its factorization.

150152548 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3172 (or 3170 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 31.

The square root of 150152548 is about 12253.6748773582. The cubic root of 150152548 is about 531.5093418325.

The spelling of 150152548 in words is "one hundred fifty million, one hundred fifty-two thousand, five hundred forty-eight".

Divisors: 1 2 4 7 13 14 26 28 52 91 137 182 274 364 548 959 1781 1918 3011 3562 3836 6022 7124 12044 12467 21077 24934 39143 42154 49868 78286 84308 156572 274001 412507 548002 825014 1096004 1650028 2887549 5362591 5775098 10725182 11550196 21450364 37538137 75076274 150152548