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28359396 = 2234136733
BaseRepresentation
bin110110000101…
…1101011100100
31222100210210000
41230023223210
524230000041
62451501300
7463023312
oct154135344
958323700
1028359396
111500a91a
1295b7830
135b4c310
143aa30b2
152752bb6
hex1b0bae4

28359396 has 60 divisors (see below), whose sum is σ = 79851772. Its totient is φ = 8724672.

The previous prime is 28359347. The next prime is 28359431. The reversal of 28359396 is 69395382.

It can be written as a sum of positive squares in 2 ways, for example, as 18662400 + 9696996 = 4320^2 + 3114^2 .

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 19 ways as a sum of consecutive naturals, for example, 846 + ... + 7578.

Almost surely, 228359396 is an apocalyptic number.

28359396 is a gapful number since it is divisible by the number (26) 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 28359396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39925886).

28359396 is an abundant number, since it is smaller than the sum of its proper divisors (51492376).

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

28359396 is a wasteful number, since it uses less digits than its factorization.

28359396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6762 (or 6751 counting only the distinct ones).

The product of its digits is 349920, while the sum is 45.

The square root of 28359396 is about 5325.3540727354. The cubic root of 28359396 is about 304.9525896029.

The spelling of 28359396 in words is "twenty-eight million, three hundred fifty-nine thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 234 324 351 468 702 1053 1404 2106 4212 6733 13466 20199 26932 40398 60597 80796 87529 121194 175058 181791 242388 262587 350116 363582 525174 545373 727164 787761 1050348 1090746 1575522 2181492 2363283 3151044 4726566 7089849 9453132 14179698 28359396