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155250432 = 28347487
BaseRepresentation
bin10010100000011…
…10111100000000
3101211010112120000
421100032330000
5304221003212
623223320000
73563415111
oct1120167400
9354115500
10155250432
117a6a8a47
1243bb0000
132621997c
1416894208
15d96a1dc
hex940ef00

155250432 has 90 divisors (see below), whose sum is σ = 462990528. Its totient is φ = 51743232.

The previous prime is 155250419. The next prime is 155250451. The reversal of 155250432 is 234052551.

It is a happy number.

155250432 is a `hidden beast` number, since 155 + 2 + 504 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 155250396 and 155250405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 16993 + ... + 24479.

Almost surely, 2155250432 is an apocalyptic number.

155250432 is a gapful number since it is divisible by the number (12) 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 155250432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231495264).

155250432 is an abundant number, since it is smaller than the sum of its proper divisors (307740096).

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

155250432 is an frugal number, since it uses more digits than its factorization.

155250432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7515 (or 7492 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 155250432 is about 12459.9531299279. The cubic root of 155250432 is about 537.4576791629.

It can be divided in two parts, 1552 and 50432, that added together give a square (51984 = 2282).

The spelling of 155250432 in words is "one hundred fifty-five million, two hundred fifty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 576 648 768 864 1152 1296 1728 2304 2592 3456 5184 6912 7487 10368 14974 20736 22461 29948 44922 59896 67383 89844 119792 134766 179688 202149 239584 269532 359376 404298 479168 539064 606447 718752 808596 958336 1078128 1212894 1437504 1617192 1916672 2156256 2425788 2875008 3234384 4312512 4851576 5750016 6468768 8625024 9703152 12937536 17250048 19406304 25875072 38812608 51750144 77625216 155250432