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42385692 = 223171731201
BaseRepresentation
bin1010000110110…
…0000100011100
32221202102020110
42201230010130
541322320232
64112250020
71023162306
oct241540434
987672213
1042385692
1121a1aaa8
1212240910
138a206bb
1458b4976
153ac3acc
hex286c11c

42385692 has 48 divisors (see below), whose sum is σ = 105410592. Its totient is φ = 13209600.

The previous prime is 42385691. The next prime is 42385697. The reversal of 42385692 is 29658324.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 42385692.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42385691) 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, 34692 + ... + 35892.

It is an arithmetic number, because the mean of its divisors is an integer number (2196054).

Almost surely, 242385692 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 42385692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52705296).

42385692 is an abundant number, since it is smaller than the sum of its proper divisors (63024900).

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

42385692 is a wasteful number, since it uses less digits than its factorization.

42385692 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1398 (or 1396 counting only the distinct ones).

The product of its digits is 103680, while the sum is 39.

The square root of 42385692 is about 6510.4294789207. The cubic root of 42385692 is about 348.6634522714.

The spelling of 42385692 in words is "forty-two million, three hundred eighty-five thousand, six hundred ninety-two".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 173 204 346 519 692 1038 1201 2076 2402 2941 3603 4804 5882 7206 8823 11764 14412 17646 20417 35292 40834 61251 81668 122502 207773 245004 415546 623319 831092 1246638 2493276 3532141 7064282 10596423 14128564 21192846 42385692