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42771904 = 267223593
BaseRepresentation
bin1010001100101…
…0010111000000
32222111001000121
42203022113000
541422200104
64124430024
71026361300
oct243122700
988431017
1042771904
112216418a
12123a8314
138b27426
145975600
153b4d254
hex28ca5c0

42771904 has 84 divisors (see below), whose sum is σ = 103199184. Its totient is φ = 17504256.

The previous prime is 42771857. The next prime is 42771913. The reversal of 42771904 is 40917724.

It is a self number, because there is not a number n which added to its sum of digits gives 42771904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 71832 + ... + 72424.

Almost surely, 242771904 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 42771904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51599592).

42771904 is an abundant number, since it is smaller than the sum of its proper divisors (60427280).

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

42771904 is a wasteful number, since it uses less digits than its factorization.

42771904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 34.

The square root of 42771904 is about 6540.0232415489. The cubic root of 42771904 is about 349.7192415117.

The spelling of 42771904 in words is "forty-two million, seven hundred seventy-one thousand, nine hundred four".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 49 56 64 92 98 112 161 184 196 224 322 368 392 448 593 644 736 784 1127 1186 1288 1472 1568 2254 2372 2576 3136 4151 4508 4744 5152 8302 9016 9488 10304 13639 16604 18032 18976 27278 29057 33208 36064 37952 54556 58114 66416 72128 95473 109112 116228 132832 190946 218224 232456 265664 381892 436448 464912 668311 763784 872896 929824 1336622 1527568 1859648 2673244 3055136 5346488 6110272 10692976 21385952 42771904