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27422496 = 2533171867
BaseRepresentation
bin110100010011…
…0111100100000
31220121012121000
41220212330200
524010004441
62415432000
7452041653
oct150467440
956535530
1027422496
111452aa22
129225600
1358b1a3a
1438db89a
15261a2b6
hex1a26f20

27422496 has 96 divisors (see below), whose sum is σ = 84732480. Its totient is φ = 8598528.

The previous prime is 27422477. The next prime is 27422531. The reversal of 27422496 is 69422472.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 27422496.

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 15 ways as a sum of consecutive naturals, for example, 13755 + ... + 15621.

It is an arithmetic number, because the mean of its divisors is an integer number (882630).

Almost surely, 227422496 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 27422496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42366240).

27422496 is an abundant number, since it is smaller than the sum of its proper divisors (57309984).

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

27422496 is a wasteful number, since it uses less digits than its factorization.

27422496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1903 (or 1889 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 27422496 is about 5236.6493103892. The cubic root of 27422496 is about 301.5567082263.

The spelling of 27422496 in words is "twenty-seven million, four hundred twenty-two thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 68 72 96 102 108 136 144 153 204 216 272 288 306 408 432 459 544 612 816 864 918 1224 1632 1836 1867 2448 3672 3734 4896 5601 7344 7468 11202 14688 14936 16803 22404 29872 31739 33606 44808 50409 59744 63478 67212 89616 95217 100818 126956 134424 179232 190434 201636 253912 268848 285651 380868 403272 507824 537696 571302 761736 806544 856953 1015648 1142604 1523472 1613088 1713906 2285208 3046944 3427812 4570416 6855624 9140832 13711248 27422496