Search a number
-
+
42277170 = 23513432521
BaseRepresentation
bin1010000101000…
…1100100110010
32221112220101010
42201101210302
541310332140
64110051350
71022231025
oct241214462
987486333
1042277170
1121956511
12121a9b56
1389b31a0
1458871bc
153aa1880
hex2851932

42277170 has 64 divisors (see below), whose sum is σ = 111855744. Its totient is φ = 10160640.

The previous prime is 42277153. The next prime is 42277171. The reversal of 42277170 is 7177224.

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

It is not an unprimeable number, because it can be changed into a prime (42277171) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15510 + ... + 18030.

It is an arithmetic number, because the mean of its divisors is an integer number (1747746).

Almost surely, 242277170 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42277170, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55927872).

42277170 is an abundant number, since it is smaller than the sum of its proper divisors (69578574).

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

42277170 is a wasteful number, since it uses less digits than its factorization.

42277170 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2587.

The product of its (nonzero) digits is 5488, while the sum is 30.

The square root of 42277170 is about 6502.0896641003. The cubic root of 42277170 is about 348.3656316950.

The spelling of 42277170 in words is "forty-two million, two hundred seventy-seven thousand, one hundred seventy".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 43 65 78 86 129 130 195 215 258 390 430 559 645 1118 1290 1677 2521 2795 3354 5042 5590 7563 8385 12605 15126 16770 25210 32773 37815 65546 75630 98319 108403 163865 196638 216806 325209 327730 491595 542015 650418 983190 1084030 1409239 1626045 2818478 3252090 4227717 7046195 8455434 14092390 21138585 42277170