Search a number
-
+
42278370 = 2352371863
BaseRepresentation
bin1010000101000…
…1110111100010
32221112222000120
42201101313202
541310401440
64110101110
71022234361
oct241216742
987488016
1042278370
1121957402
12121aa796
1389b38b4
1458877d8
153aa1dd0
hex2851de2

42278370 has 64 divisors (see below), whose sum is σ = 107495424. Its totient is φ = 10619840.

The previous prime is 42278359. The next prime is 42278399. The reversal of 42278370 is 7387224.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48559 + ... + 49421.

It is an arithmetic number, because the mean of its divisors is an integer number (1679616).

Almost surely, 242278370 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42278370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53747712).

42278370 is an abundant number, since it is smaller than the sum of its proper divisors (65217054).

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

42278370 is a wasteful number, since it uses less digits than its factorization.

42278370 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 967.

The product of its (nonzero) digits is 18816, while the sum is 33.

The square root of 42278370 is about 6502.1819414716. The cubic root of 42278370 is about 348.3689276804.

The spelling of 42278370 in words is "forty-two million, two hundred seventy-eight thousand, three hundred seventy".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 71 115 138 142 213 230 345 355 426 690 710 863 1065 1633 1726 2130 2589 3266 4315 4899 5178 8165 8630 9798 12945 16330 19849 24495 25890 39698 48990 59547 61273 99245 119094 122546 183819 198490 297735 306365 367638 595470 612730 919095 1409279 1838190 2818558 4227837 7046395 8455674 14092790 21139185 42278370