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28750144 = 263143337
BaseRepresentation
bin110110110101…
…1000101000000
32000002122210011
41231223011000
524330001034
62504114304
7466241443
oct155530500
960078704
1028750144
1115257455
129765994
135c58127
143b6565a
1527cd864
hex1b6b140

28750144 has 56 divisors (see below), whose sum is σ = 60439808. Its totient is φ = 13547520.

The previous prime is 28750129. The next prime is 28750157. The reversal of 28750144 is 44105782.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 85144 + ... + 85480.

Almost surely, 228750144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28750144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30219904).

28750144 is an abundant number, since it is smaller than the sum of its proper divisors (31689664).

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

28750144 is a wasteful number, since it uses less digits than its factorization.

28750144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 31.

The square root of 28750144 is about 5361.9160754342. The cubic root of 28750144 is about 306.3467952257.

The spelling of 28750144 in words is "twenty-eight million, seven hundred fifty thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 31 32 43 62 64 86 124 172 248 337 344 496 674 688 992 1333 1348 1376 1984 2666 2696 2752 5332 5392 10447 10664 10784 14491 20894 21328 21568 28982 41788 42656 57964 83576 85312 115928 167152 231856 334304 449221 463712 668608 898442 927424 1796884 3593768 7187536 14375072 28750144