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27942252 = 223133747103
BaseRepresentation
bin110101010010…
…1110101101100
31221120121120020
41222211311230
524123123002
62434522140
7456335202
oct152456554
957517506
1027942252
1114855478
129436350
135a344a0
1439d5072
1526be2bc
hex1aa5d6c

27942252 has 96 divisors (see below), whose sum is σ = 74360832. Its totient is φ = 8107776.

The previous prime is 27942251. The next prime is 27942269. The reversal of 27942252 is 25224972.

27942252 = 4692 + 4702 + ... + 5712.

It is not an unprimeable number, because it can be changed into a prime (27942251) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 271233 + ... + 271335.

It is an arithmetic number, because the mean of its divisors is an integer number (774592).

Almost surely, 227942252 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 27942252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37180416).

27942252 is an abundant number, since it is smaller than the sum of its proper divisors (46418580).

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

27942252 is a wasteful number, since it uses less digits than its factorization.

27942252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 205 counting only the distinct ones).

The product of its digits is 20160, while the sum is 33.

The square root of 27942252 is about 5286.0431326277. The cubic root of 27942252 is about 303.4499952447.

The spelling of 27942252 in words is "twenty-seven million, nine hundred forty-two thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 12 13 26 37 39 47 52 74 78 94 103 111 141 148 156 188 206 222 282 309 412 444 481 564 611 618 962 1222 1236 1339 1443 1739 1833 1924 2444 2678 2886 3478 3666 3811 4017 4841 5217 5356 5772 6956 7332 7622 8034 9682 10434 11433 14523 15244 16068 19364 20868 22607 22866 29046 45214 45732 49543 58092 62933 67821 90428 99086 125866 135642 148629 179117 188799 198172 251732 271284 297258 358234 377598 537351 594516 716468 755196 1074702 2149404 2328521 4657042 6985563 9314084 13971126 27942252