Search a number
-
+
42623016 = 2333159971
BaseRepresentation
bin1010001010011…
…0000000101000
32222012110210020
42202212000220
541402414031
64121320440
71025201232
oct242460050
988173706
1042623016
1122072337
1212336120
138aa4727
145937252
153b1e096
hex28a6028

42623016 has 64 divisors (see below), whose sum is σ = 111974400. Its totient is φ = 13502400.

The previous prime is 42622999. The next prime is 42623027. The reversal of 42623016 is 61032624.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43411 + ... + 44381.

It is an arithmetic number, because the mean of its divisors is an integer number (1749600).

Almost surely, 242623016 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 42623016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55987200).

42623016 is an abundant number, since it is smaller than the sum of its proper divisors (69351384).

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

42623016 is a wasteful number, since it uses less digits than its factorization.

42623016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1070 (or 1066 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 42623016 is about 6528.6304842593. The cubic root of 42623016 is about 349.3129815789.

The spelling of 42623016 in words is "forty-two million, six hundred twenty-three thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 24 31 59 62 93 118 124 177 186 236 248 354 372 472 708 744 971 1416 1829 1942 2913 3658 3884 5487 5826 7316 7768 10974 11652 14632 21948 23304 30101 43896 57289 60202 90303 114578 120404 171867 180606 229156 240808 343734 361212 458312 687468 722424 1374936 1775959 3551918 5327877 7103836 10655754 14207672 21311508 42623016