Search a number
-
+
42329910 = 2357191032
BaseRepresentation
bin1010000101111…
…0011100110110
32221122120201110
42201132130312
541314024120
64111135450
71022540550
oct241363466
987576643
1042329910
11219920a7
1212214586
138a011ac
14589c4d0
153ab22e0
hex285e736

42329910 has 96 divisors (see below), whose sum is σ = 123413760. Its totient is φ = 9077184.

The previous prime is 42329909. The next prime is 42329921. The reversal of 42329910 is 1992324.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 410919 + ... + 411021.

It is an arithmetic number, because the mean of its divisors is an integer number (1285560).

Almost surely, 242329910 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42329910, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61706880).

42329910 is an abundant number, since it is smaller than the sum of its proper divisors (81083850).

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

42329910 is a wasteful number, since it uses less digits than its factorization.

42329910 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 42329910 is about 6506.1440193097. The cubic root of 42329910 is about 348.5104314281.

The spelling of 42329910 in words is "forty-two million, three hundred twenty-nine thousand, nine hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 19 21 30 35 38 42 57 70 95 103 105 114 133 190 206 210 266 285 309 399 515 570 618 665 721 798 1030 1330 1442 1545 1957 1995 2163 3090 3605 3914 3990 4326 5871 7210 9785 10609 10815 11742 13699 19570 21218 21630 27398 29355 31827 41097 53045 58710 63654 68495 74263 82194 106090 136990 148526 159135 201571 205485 222789 318270 371315 403142 410970 445578 604713 742630 1007855 1113945 1209426 1410997 2015710 2227890 2821994 3023565 4232991 6047130 7054985 8465982 14109970 21164955 42329910