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27922428 = 22332291129
BaseRepresentation
bin110101010000…
…0111111111100
31221112121101000
41222200333330
524122004203
62434250300
7456223332
oct152407774
957477330
1027922428
1114841596
129426990
135a28461
1439cbb52
1526b84a3
hex1aa0ffc

27922428 has 48 divisors (see below), whose sum is σ = 72772000. Its totient is φ = 9258624.

The previous prime is 27922423. The next prime is 27922429. The reversal of 27922428 is 82422972.

It is a happy number.

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 = 27922392 and 27922401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27922423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24168 + ... + 25296.

Almost surely, 227922428 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 27922428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36386000).

27922428 is an abundant number, since it is smaller than the sum of its proper divisors (44849572).

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

27922428 is a wasteful number, since it uses less digits than its factorization.

27922428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1371 (or 1363 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 27922428 is about 5284.1676733427. The cubic root of 27922428 is about 303.3782160639.

The spelling of 27922428 in words is "twenty-seven million, nine hundred twenty-two thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 229 458 687 916 1129 1374 2061 2258 2748 3387 4122 4516 6183 6774 8244 10161 12366 13548 20322 24732 30483 40644 60966 121932 258541 517082 775623 1034164 1551246 2326869 3102492 4653738 6980607 9307476 13961214 27922428