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150228576 = 25323591453
BaseRepresentation
bin10001111010001…
…00111001100000
3101110200101212100
420331010321200
5301424303301
622523530400
73502631121
oct1075047140
9343611770
10150228576
1177888a53
1242389a00
132517bc64
1415d48048
15d2c7286
hex8f44e60

150228576 has 72 divisors (see below), whose sum is σ = 428697360. Its totient is φ = 49902336.

The previous prime is 150228557. The next prime is 150228593. The reversal of 150228576 is 675822051.

It is a happy number.

150228576 is a `hidden beast` number, since 1 + 502 + 2 + 85 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a self number, because there is not a number n which added to its sum of digits gives 150228576.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 102666 + ... + 104118.

It is an arithmetic number, because the mean of its divisors is an integer number (5954130).

Almost surely, 2150228576 is an apocalyptic number.

150228576 is a gapful number since it is divisible by the number (16) 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 150228576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214348680).

150228576 is an abundant number, since it is smaller than the sum of its proper divisors (278468784).

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

150228576 is a wasteful number, since it uses less digits than its factorization.

150228576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1828 (or 1817 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 150228576 is about 12256.7767377888. The cubic root of 150228576 is about 531.5990345581.

The spelling of 150228576 in words is "one hundred fifty million, two hundred twenty-eight thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 359 718 1077 1436 1453 2154 2872 2906 3231 4308 4359 5744 5812 6462 8616 8718 11488 11624 12924 13077 17232 17436 23248 25848 26154 34464 34872 46496 51696 52308 69744 103392 104616 139488 209232 418464 521627 1043254 1564881 2086508 3129762 4173016 4694643 6259524 8346032 9389286 12519048 16692064 18778572 25038096 37557144 50076192 75114288 150228576