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42670768 = 2472371471
BaseRepresentation
bin1010001011000…
…1101010110000
32222021220021211
42202301222300
541410431033
64122325504
71025460400
oct242615260
988256254
1042670768
11220a51a8
1212359894
138ac039a
14594a800
153b2d2cd
hex28b1ab0

42670768 has 60 divisors (see below), whose sum is σ = 98838912. Its totient is φ = 17781120.

The previous prime is 42670739. The next prime is 42670801. The reversal of 42670768 is 86707624.

It is a self number, because there is not a number n which added to its sum of digits gives 42670768.

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 11 ways as a sum of consecutive naturals, for example, 28273 + ... + 29743.

Almost surely, 242670768 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 42670768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49419456).

42670768 is an abundant number, since it is smaller than the sum of its proper divisors (56168144).

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

42670768 is a wasteful number, since it uses less digits than its factorization.

42670768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1530 (or 1517 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 40.

The square root of 42670768 is about 6532.2865828131. The cubic root of 42670768 is about 349.4433819254.

The spelling of 42670768 in words is "forty-two million, six hundred seventy thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 37 49 56 74 98 112 148 196 259 296 392 518 592 784 1036 1471 1813 2072 2942 3626 4144 5884 7252 10297 11768 14504 20594 23536 29008 41188 54427 72079 82376 108854 144158 164752 217708 288316 380989 435416 576632 761978 870832 1153264 1523956 2666923 3047912 5333846 6095824 10667692 21335384 42670768