[go: up one dir, main page]

Search a number
-
+
42418428 = 22313377349
BaseRepresentation
bin1010000111010…
…0000011111100
32221211002010220
42201310003330
541324342203
64113101340
71023356613
oct241640374
987732126
1042418428
1121a42658
1212257850
138a32580
1458c287a
153acd653
hex28740fc

42418428 has 48 divisors (see below), whose sum is σ = 109485600. Its totient is φ = 12697344.

The previous prime is 42418427. The next prime is 42418429. The reversal of 42418428 is 82481424.

It is an interprime number because it is at equal distance from previous prime (42418427) and next prime (42418429).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42418421) 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, 2098 + ... + 9446.

It is an arithmetic number, because the mean of its divisors is an integer number (2280950).

Almost surely, 242418428 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 42418428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54742800).

42418428 is an abundant number, since it is smaller than the sum of its proper divisors (67067172).

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

42418428 is a wasteful number, since it uses less digits than its factorization.

42418428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7406 (or 7404 counting only the distinct ones).

The product of its digits is 16384, while the sum is 33.

The square root of 42418428 is about 6512.9431135240. The cubic root of 42418428 is about 348.7531909627.

The spelling of 42418428 in words is "forty-two million, four hundred eighteen thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 12 13 26 37 39 52 74 78 111 148 156 222 444 481 962 1443 1924 2886 5772 7349 14698 22047 29396 44094 88188 95537 191074 271913 286611 382148 543826 573222 815739 1087652 1146444 1631478 3262956 3534869 7069738 10604607 14139476 21209214 42418428