Search a number
-
+
42319260 = 22345151173
BaseRepresentation
bin1010000101101…
…1110110011100
32221122001010000
42201123312130
541313204020
64111014300
71022464524
oct241336634
987561100
1042319260
11219850a5
121220a390
1389c93a9
145898684
153aae090
hex285bd9c

42319260 has 120 divisors (see below), whose sum is σ = 134408736. Its totient is φ = 11145600.

The previous prime is 42319243. The next prime is 42319261. The reversal of 42319260 is 6291324.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42319261) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 244534 + ... + 244706.

Almost surely, 242319260 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 42319260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67204368).

42319260 is an abundant number, since it is smaller than the sum of its proper divisors (92089476).

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

42319260 is a wasteful number, since it uses less digits than its factorization.

42319260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 42319260 is about 6505.3255106874. The cubic root of 42319260 is about 348.4812011319.

It can be divided in two parts, 423 and 19260, that added together give a 9-th power (19683 = 39).

The spelling of 42319260 in words is "forty-two million, three hundred nineteen thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 151 162 173 180 270 302 324 346 405 453 519 540 604 692 755 810 865 906 1038 1359 1510 1557 1620 1730 1812 2076 2265 2595 2718 3020 3114 3460 4077 4530 4671 5190 5436 6228 6795 7785 8154 9060 9342 10380 12231 13590 14013 15570 16308 18684 20385 23355 24462 26123 27180 28026 31140 40770 46710 48924 52246 56052 61155 70065 78369 81540 93420 104492 122310 130615 140130 156738 235107 244620 261230 280260 313476 391845 470214 522460 705321 783690 940428 1175535 1410642 1567380 2115963 2351070 2821284 3526605 4231926 4702140 7053210 8463852 10579815 14106420 21159630 42319260