Search a number
-
+
42174528 = 26311191051
BaseRepresentation
bin1010000011100…
…0100001000000
32221100200120120
42200320201000
541244041103
64103540240
71021322544
oct240704100
987320516
1042174528
1121896390
121215a680
138978556
14585ba24
153a81253
hex2838840

42174528 has 112 divisors (see below), whose sum is σ = 128259840. Its totient is φ = 12096000.

The previous prime is 42174523. The next prime is 42174551. The reversal of 42174528 is 82547124.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (42174521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39603 + ... + 40653.

Almost surely, 242174528 is an apocalyptic number.

42174528 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42174528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64129920).

42174528 is an abundant number, since it is smaller than the sum of its proper divisors (86085312).

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

42174528 is a wasteful number, since it uses less digits than its factorization.

42174528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1096 (or 1086 counting only the distinct ones).

The product of its digits is 17920, while the sum is 33.

The square root of 42174528 is about 6494.1918665836. The cubic root of 42174528 is about 348.0834784542.

The spelling of 42174528 in words is "forty-two million, one hundred seventy-four thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 32 33 38 44 48 57 64 66 76 88 96 114 132 152 176 192 209 228 264 304 352 418 456 528 608 627 704 836 912 1051 1056 1216 1254 1672 1824 2102 2112 2508 3153 3344 3648 4204 5016 6306 6688 8408 10032 11561 12612 13376 16816 19969 20064 23122 25224 33632 34683 39938 40128 46244 50448 59907 67264 69366 79876 92488 100896 119814 138732 159752 184976 201792 219659 239628 277464 319504 369952 439318 479256 554928 639008 658977 739904 878636 958512 1109856 1278016 1317954 1757272 1917024 2219712 2635908 3514544 3834048 5271816 7029088 10543632 14058176 21087264 42174528