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28745152 = 263761199
BaseRepresentation
bin110110110100…
…1110111000000
32000002101221021
41231221313000
524324321102
62504035224
7466221052
oct155516700
960071837
1028745152
1115253727
129762b14
135c55a87
143b638d2
1527cc137
hex1b69dc0

28745152 has 56 divisors (see below), whose sum is σ = 59842400. Its totient is φ = 13685760.

The previous prime is 28745149. The next prime is 28745173. The reversal of 28745152 is 25154782.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 144349 + ... + 144547.

Almost surely, 228745152 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 28745152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29921200).

28745152 is an abundant number, since it is smaller than the sum of its proper divisors (31097248).

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

28745152 is a wasteful number, since it uses less digits than its factorization.

28745152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 299 counting only the distinct ones).

The product of its digits is 22400, while the sum is 34.

The square root of 28745152 is about 5361.4505499911. The cubic root of 28745152 is about 306.3290634684.

The spelling of 28745152 in words is "twenty-eight million, seven hundred forty-five thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 32 37 61 64 74 122 148 199 244 296 398 488 592 796 976 1184 1592 1952 2257 2368 3184 3904 4514 6368 7363 9028 12139 12736 14726 18056 24278 29452 36112 48556 58904 72224 97112 117808 144448 194224 235616 388448 449143 471232 776896 898286 1796572 3593144 7186288 14372576 28745152