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155248128 = 293274813
BaseRepresentation
bin10010100000011…
…10011000000000
3101211010102101200
421100032120000
5304220420003
623223301200
73563405310
oct1120163000
9354112350
10155248128
117a6a7242
1243baa800
13262188c9
1416893440
15d9696a3
hex940e600

155248128 has 120 divisors (see below), whose sum is σ = 512171088. Its totient is φ = 44347392.

The previous prime is 155248117. The next prime is 155248153. The reversal of 155248128 is 821842551.

155248128 is a `hidden beast` number, since 1 + 5 + 524 + 8 + 128 = 666.

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 = 155248092 and 155248101.

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, 29850 + ... + 34662.

Almost surely, 2155248128 is an apocalyptic number.

155248128 is a gapful number since it is divisible by the number (18) 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 155248128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256085544).

155248128 is an abundant number, since it is smaller than the sum of its proper divisors (356922960).

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

155248128 is an equidigital number, since it uses as much as digits as its factorization.

155248128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4844 (or 4825 counting only the distinct ones).

The product of its digits is 25600, while the sum is 36.

The square root of 155248128 is about 12459.8606733783. The cubic root of 155248128 is about 537.4550204293.

The spelling of 155248128 in words is "one hundred fifty-five million, two hundred forty-eight thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 512 576 672 768 896 1008 1152 1344 1536 1792 2016 2304 2688 3584 4032 4608 4813 5376 8064 9626 10752 14439 16128 19252 28878 32256 33691 38504 43317 57756 67382 77008 86634 101073 115512 134764 154016 173268 202146 231024 269528 303219 308032 346536 404292 462048 539056 606438 616064 693072 808584 924096 1078112 1212876 1232128 1386144 1617168 1848192 2156224 2425752 2464256 2772288 3234336 3696384 4312448 4851504 5544576 6468672 7392768 8624896 9703008 11089152 12937344 17249792 19406016 22178304 25874688 38812032 51749376 77624064 155248128