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150292728 = 23322087399
BaseRepresentation
bin10001111010101…
…00100011111000
3101110210122212100
420331110203320
5301433331403
622525143400
73503316135
oct1075244370
9343718770
10150292728
1177922173
12423bab60
13251a2211
1415d6358c
15d2db2a3
hex8f548f8

150292728 has 24 divisors (see below), whose sum is σ = 407043000. Its totient is φ = 50097552.

The previous prime is 150292711. The next prime is 150292799. The reversal of 150292728 is 827292051.

150292728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

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

It is a junction number, because it is equal to n+sod(n) for n = 150292692 and 150292701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1043628 + ... + 1043771.

It is an arithmetic number, because the mean of its divisors is an integer number (16960125).

Almost surely, 2150292728 is an apocalyptic number.

150292728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

150292728 is an abundant number, since it is smaller than the sum of its proper divisors (256750272).

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

150292728 is a wasteful number, since it uses less digits than its factorization.

150292728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2087411 (or 2087404 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 150292728 is about 12259.3934597108. The cubic root of 150292728 is about 531.6746932398.

The spelling of 150292728 in words is "one hundred fifty million, two hundred ninety-two thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 2087399 4174798 6262197 8349596 12524394 16699192 18786591 25048788 37573182 50097576 75146364 150292728