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42639872 = 291167113
BaseRepresentation
bin1010001010101…
…0001000000000
32222020022220112
42202222020000
541403433442
64121530452
71025301332
oct242521000
988208815
1042639872
1122083a70
1212343a28
138aac2c2
14593d452
153b24082
hex28aa200

42639872 has 80 divisors (see below), whose sum is σ = 95163552. Its totient is φ = 18923520.

The previous prime is 42639871. The next prime is 42639887. The reversal of 42639872 is 27893624.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (42639871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 377288 + ... + 377400.

Almost surely, 242639872 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 42639872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47581776).

42639872 is an abundant number, since it is smaller than the sum of its proper divisors (52523680).

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

42639872 is a wasteful number, since it uses less digits than its factorization.

42639872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 193 counting only the distinct ones).

The product of its digits is 145152, while the sum is 41.

The square root of 42639872 is about 6529.9212858962. The cubic root of 42639872 is about 349.3590227727.

The spelling of 42639872 in words is "forty-two million, six hundred thirty-nine thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 67 88 113 128 134 176 226 256 268 352 452 512 536 704 737 904 1072 1243 1408 1474 1808 2144 2486 2816 2948 3616 4288 4972 5632 5896 7232 7571 8576 9944 11792 14464 15142 17152 19888 23584 28928 30284 34304 39776 47168 57856 60568 79552 83281 94336 121136 159104 166562 188672 242272 318208 333124 377344 484544 636416 666248 969088 1332496 1938176 2664992 3876352 5329984 10659968 21319936 42639872