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155428000 = 2553721361
BaseRepresentation
bin10010100001110…
…10010010100000
3101211110120010121
421100322102200
5304242144000
623231210024
73565054600
oct1120722240
9354416117
10155428000
117a80a3a2
1244076914
132627c740
14168dcc00
15d9a2b1a
hex943a4a0

155428000 has 288 divisors, whose sum is σ = 486250128. Its totient is φ = 48384000.

The previous prime is 155427983. The next prime is 155428019. The reversal of 155428000 is 824551.

It can be written as a sum of positive squares in 8 ways, for example, as 15147664 + 140280336 = 3892^2 + 11844^2 .

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2547970 + ... + 2548030.

Almost surely, 2155428000 is an apocalyptic number.

155428000 is a gapful number since it is divisible by the number (10) 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 155428000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243125064).

155428000 is an abundant number, since it is smaller than the sum of its proper divisors (330822128).

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

155428000 is a wasteful number, since it uses less digits than its factorization.

155428000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 25.

The square root of 155428000 is about 12467.0766421002. The cubic root of 155428000 is about 537.6625071995.

The spelling of 155428000 in words is "one hundred fifty-five million, four hundred twenty-eight thousand".